There are three events E1, E2 and E3, one of which is must and only one can happen. -Maths 9th

There are three events E1, E2 and E3, one of which is must and only one can happen. -Maths 9th
by

1 Answer

Answer :

Since one and only one of the three events E1, E2 and E3 can happen, i.e, they are mutually exclusive. Therefore, P(E1) + P(E2) + P(E3) = 1        ...(i) Odds against E1 are 7 : 4 ⇒ Odds in favour of E1 are 4 : 7⇒ P(E1) = \(rac{4}{4+7}\) = \(rac{4}{11}\)                           ....(ii)Odds against E2 are 5 : 3 ⇒ Odds in favour of E2 are 3 : 5 ⇒ P(E2) = \(rac{3}{3+5}\) = \(rac{3}{8}\)                       ....(iii)∴ From (i), (ii) and (iii)\(rac{4}{11}\) + \(rac{3}{8}\) + P(E3) = 1  ⇒ P(E3) = 1 - \(\bigg(\)\(rac{4}{11}\)+\(rac{3}{8}\)\(\bigg)\)= 1 - \(\bigg(rac{32+33}{88}\bigg)\) = 1 - \(rac{65}{88}\) = \(rac{23}{88}\)∴ Odds against E3 are \(rac{1-P(E_3)}{P(E_3)}\) = \(rac{1-rac{23}{88}}{rac{23}{88}}\) = \(rac{rac{65}{88}}{rac{23}{88}}\) = 65 : 23.
by

Related questions

If the three independent events E1, E2 and E3, the probability that only E1 occurs is α, E2 occurs -Maths 9th

Description : If the three independent events E1, E2 and E3, the probability that only E1 occurs is α, E2 occurs -Maths 9th

Last Answer : (c) 6Let \(x\), y, z be the probabilities of happening of events E1, E2 and E3 respectively. Then, \(\alpha\) = P (occurrence of E1 only) = x (1 - y) (1 - z) \(\beta\) = P (occurrence of E2 only) = (1 - \(x\)) y (1 - ... (x\) = 6z (From (i) and (ii))⇒ \(rac{x}{z}\) = 6 ⇒ \(rac{P(E_1)}{P(E_3)}\) = 6.

There are three events A, B and C, one of which must and can only happen. If the odds one 8 : 3 against A, 5 : 2 against -Maths 9th

Description : There are three events A, B and C, one of which must and can only happen. If the odds one 8 : 3 against A, 5 : 2 against -Maths 9th

Last Answer : (c) \(rac{3}{8}\)Total number of ways of checking in the 4 hotels by 3 men = 4 4 4 = 43. Number of ways in which each man checks into a different hotel = 4 3 2 (As for the 1st person, ... P(Each person checks into a different hotel)= \(rac{4 imes3 imes2}{4 imes4 imes4}\) = \(rac{3}{8}\).

De Broglie equation is (a) h/mv = 1 (b) E1 – E2 = hv (c) C = 1v (d) n1 = 2d sin q

Description : De Broglie equation is (a) h/mv = 1 (b) E1 – E2 = hv (c) C = 1v (d) n1 = 2d sin q

Last Answer : Ans:(a)

The de Broglie equation is (a) h/mv = 1 (b) hv = E2 - E1 (c) n 1 = 2d sin (d) c = hv

Description : The de Broglie equation is (a) h/mv = 1 (b) hv = E2 - E1 (c) n 1 = 2d sin (d) c = hv

Last Answer : Ans:(a)

As shown in the illustration, what maintenance would be required of the circuit components? EL-0058 A. Change out both 'C' units monthly. B. Clean the glass surrounding 'E1' & 'E2' as needed. C. File the points at the upper end of 'G' every six months. D. Take megger readings on 'E1' & 'E2' windings quarterly.

Description : As shown in the illustration, what maintenance would be required of the circuit components? EL-0058 A. Change out both 'C' units monthly. B. Clean the glass surrounding 'E1' & 'E2' as needed. C. File ... upper end of 'G' every six months. D. Take megger readings on 'E1' & 'E2' windings quarterly.

Last Answer : Answer: B

In a consecutive reaction system of the given figure bellow, when E1 is much greater than E2 , the yield of B increases with the (A) Increase of temperature (B) Decrease of temperature (C) Increase in initial concentration of A (D) Decrease in initial concentration of A

Description : In a consecutive reaction system of the given figure bellow, when E1 is much greater than E2 , the yield of B increases with the (A) Increase of temperature (B) Decrease of temperature (C) Increase in initial concentration of A (D) Decrease in initial concentration of A

Last Answer : (A) Increase of temperature

When dipentyl ether is treated with excess HI, through what type of mechanism(s) does the major product result? (a) SN2 (b) SN1 (c) E1(d) E2

Description : When dipentyl ether is treated with excess HI, through what type of mechanism(s) does the major product result? (a) SN2 (b) SN1 (c) E1 (d) E2

Last Answer : SN2

The acid-catalyzed dehydration mechanism for alcohols is best described as a(n) : (a) E1 . (b) E2 . (c) SN1 (d) SN2

Description : The acid-catalyzed dehydration mechanism for alcohols is best described as a(n) : (a) E1 . (b) E2 . (c) SN1 (d) SN2

Last Answer : E1 .

Predict the two most likely mechanisms which occur when 2-iodohexane is heated in ethanol. (a) SN2 and SN1 (b) E1 and E2 (c) SN2 and E2 (d) E1 and SN1

Description : Predict the two most likely mechanisms which occur when 2-iodohexane is heated in ethanol. (a) SN2 and SN1 (b) E1 and E2 (c) SN2 and E2 (d) E1 and SN1

Last Answer : E1 and SN1

Predict the two most likely mechanisms for the reaction of 2-iodohexane with sodium ethoxide. (a) SN2 and SN1 (b) E1 and E2 (c) SN2 and E2 (d) E1 and SN1

Description : Predict the two most likely mechanisms for the reaction of 2-iodohexane with sodium ethoxide. (a) SN2 and SN1 (b) E1 and E2 (c) SN2 and E2 (d) E1 and SN1

Last Answer : SN2 and E2

Dehydrohalogenation of 2-bromobutane in the presence of a strong base proceeds via which of the following mechanistic pathways? (a) SN1 (b) SN2 (c) E1 (d) E2

Description : Dehydrohalogenation of 2-bromobutane in the presence of a strong base proceeds via which of the following mechanistic pathways? (a) SN1 (b) SN2 (c) E1 (d) E2

Last Answer : E2

Which of the following factors influence whether a reaction will proceed by an SN1, SN2, E1, or E2 mechanism? (a) Structure of the alkyl halide (b) Solvent (c) Concentration of reagents (d) Nature of the nucleophile (e) All of these

Description : Which of the following factors influence whether a reaction will proceed by an SN1, SN2, E1, or E2 mechanism? (a) Structure of the alkyl halide (b) Solvent (c) Concentration of reagents (d) Nature of the nucleophile (e) All of these

Last Answer : All of these

An atomic energy state in which more atoms are in the lower energy state E1 than in the excited state E2, is known as a) population inversion b) normal population c) stimulated population d) atomic population

Description : An atomic energy state in which more atoms are in the lower energy state E1 than in the excited state E2, is known as a) population inversion b) normal population c) stimulated population d) atomic population

Last Answer : b) normal population

The emission in which the atom emits a photon of energy hf = E2 – E1 , in any arbitrary direction is a) Spontaneous emission b) stimulated emission c) induced emission d) both a & c

Description : The emission in which the atom emits a photon of energy hf = E2 – E1 , in any arbitrary direction is a) Spontaneous emission b) stimulated emission c) induced emission d) both a & c

Last Answer : d) both a & c

The incident photon absorbed by an atom in the ground state E1, thereby leaving the atom in the excited state E2 , is a) spontaneous absorption b) stimulated absorption c) induced absorption d) both b & c

Description : The incident photon absorbed by an atom in the ground state E1, thereby leaving the atom in the excited state E2 , is a) spontaneous absorption b) stimulated absorption c) induced absorption d) both b & c

Last Answer : d) both b & c

6 In a two winding transformer, the primary and secondary induced emf E1 & E2 are always A. equal in magnitude B. anti phase with each other C. in phase with each other D. determined by load on transformer secondary

Description : 6 In a two winding transformer, the primary and secondary induced emf E1 & E2 are always A. equal in magnitude B. anti phase with each other C. in phase with each other D. determined by load on transformer secondary

Last Answer : C. In phase with each other

Let E1 and E2 be two entities in E-R diagram with simple single valued attributes. R1 and R2 are two relationships between E1 and E2 where R1 is one-many and R2 is many-many. R1 and R2 do not have any attributes of their own. How many minimum number of tables are required to represent this situation in the Relational Model? (A) 4 (B) 3 (C) 2 (D) 1

Description : Let E1 and E2 be two entities in E-R diagram with simple single valued attributes. R1 and R2 are two relationships between E1 and E2 where R1 is one-many and R2 is many-many. R1 and R2 do not have any ... are required to represent this situation in the Relational Model? (A) 4 (B) 3 (C) 2 (D) 1

Last Answer : (B) 3 

There are three events A, B and C , one of which must and only can happen. If the odds are 8:3 against A, 5:2 against B, then the odds against C must be: e) 13:7 f) 3:2 g) 43:77 h) 43:34

Description : There are three events A, B and C , one of which must and only can happen. If the odds are 8:3 against A, 5:2 against B, then the odds against C must be: e) 13:7 f) 3:2 g) 43:77 h) 43:34

Last Answer : Answer : d

A coin is tossed thrice and all eight outcomes are assumed equally likely. Find whether the events E -Maths 9th

Description : A coin is tossed thrice and all eight outcomes are assumed equally likely. Find whether the events E -Maths 9th

Last Answer : When a coin is tossed three times, the sample space is given by S = [HHH, HHT, HTH, THT, THH, HTT, TTH, TTT] E = {HHH, HTT, THT, TTH}, F = {TTT, HTH, THH, HHT}E ∩ F = ϕP(E) = \(rac{4}{8}\) = \(rac{1}{2}\ ... rac{1}{2}\) x \(rac{1}{2}\) x \(rac{1}{4}\) ≠ P(E ∩ F) ∴ E and F are not independent events.

Let a pair of fair coins be tossed. Here S = {HH, HT, TH, TT}. Consider the events A = {heads on the first coin} = {HH, HT}, -Maths 9th

Description : Let a pair of fair coins be tossed. Here S = {HH, HT, TH, TT}. Consider the events A = {heads on the first coin} = {HH, HT}, -Maths 9th

Last Answer : ThenP (A) = P (B) = P (C) = \(rac{2}{4}\) = \(rac{1}{2}\) andP (A ∩ B) = P ({HH}) = \(rac{1}{4}\), P (A ∩ C) = P ({HT}) = \(rac{1}{4}\)P ( ... C)Thus condition (i) is satisfied, i.e., the events are pairwise independent. But condition (ii) is not satisfied and so the three events are not independent

The probability of student A passing examination is 3/7 and of student B passing is 5/7 Assuming the two events “A passes”, -Maths 9th

Description : The probability of student A passing examination is 3/7 and of student B passing is 5/7 Assuming the two events “A passes”, -Maths 9th

Last Answer : p1 = P(A) = \(rac{3}{7}\), p2 = P(B) = \(rac{5}{7}\) ∴ q1 = P(\(\bar{A}\)) = 1 - P(A) = 1 - \(rac{3}{7}\) = \(rac{4}{7}\). q2 = P(\(\bar{B}\)) = 1 - P(B) = 1 - \(rac{5}{7}\) = \(rac{2}{7}\) ... passes) = p1 q2 + q1 p2 = \(rac{3}{7}\) x \(rac{2}{7}\) + \(rac{4}{7}\) x \(rac{5}{7}\) = \(rac{26}{49}.\)

What do you mean by Exhaustive Events? -Maths 9th

Description : What do you mean by Exhaustive Events? -Maths 9th

Last Answer : The total number of possible outcomes of a random experiment is called exhaustive events. Ex. (i) In tossing a coin, exhaustive events are 2 (Head or tail) (ii) In throwing a die, the exhaustive number of cases ... number of cases is 52 C4, since 4 cards can be drawn out of 52 cards in 52 C4 ways.

What do you mean by Mutually Exclusive Events? -Maths 9th

Description : What do you mean by Mutually Exclusive Events? -Maths 9th

Last Answer : The events are said to be mutually exclusive if they cannot occur simultaneously in a single draw. Events such as tossing a head or a tail with a coin, drawing a queen or a jack from a pack of cards, ... the card can be the king of spades. Similarly for B and C, the card can be king of hearts.

Define : Algebra of Events. -Maths 9th

Description : Define : Algebra of Events. -Maths 9th

Last Answer : Let A, B and C be any two events associated with a random experiment whose sample space is S. Then, (i) A ∪ B. (Union of A and B) is the event that occurs if A occurs or B occurs or both A and B occur ... a mutually exclusive and exhaustive set of events. ∴ A∩B = ϕ, B∩C = ϕ, A ∩C = ϕ and A∪B∪C = S.

A and B are two mutually exclusive and exhaustive events with P(B) = 3P(A). What is the value of P (bar(B)) ? -Maths 9th

Description : A and B are two mutually exclusive and exhaustive events with P(B) = 3P(A). What is the value of P (bar(B)) ? -Maths 9th

Last Answer : (c) 43 : 34Given, odds against A = 8 : 3⇒ P(not A) = \(rac{8}{8+3}\) = \(rac{8}{11}\) ⇒ P(A happens) = \(rac{3}{11}\)Odds against B = 5 : 2⇒ P(not B) = \(rac{5}{5+2}\) = \(rac{5}{7}\) ⇒ P(B happens ... {43}{77}\)odds against C = \(rac{P(not\,c)}{P(c)}\) = \(rac{rac{43}{77}}{rac{34}{77}}\) = 43 : 34.

To all you Dungeon Masters out there; Any fun Hombrew rules for e3.5?

Description : To all you Dungeon Masters out there; Any fun Hombrew rules for e3.5?

Last Answer : answer:Yes. Take your books, stack them in a pyramid-shape, to allow for good air-flow. Apply Everclear. Light match. Then, get a set of AD&D 1.0 books, and play the real way. ^_^

Will the view of gamers be changed thanks to all the new ideas being presented at E3?

Description : Will the view of gamers be changed thanks to all the new ideas being presented at E3?

Last Answer : It used to be that people thought games were only for kids. Just as games started going mainstream and becoming a socially acceptable form of entertainment, the industry decides to turn it into a kiddie toy again.

What's looking good at E3 2010?

Description : What's looking good at E3 2010?

Last Answer : All I want is “Fallout: New Vegas”

What are your thoughts on Microsoft, Nintendo, and Sony's announcements so far at E3 2009?

Description : What are your thoughts on Microsoft, Nintendo, and Sony's announcements so far at E3 2009?

Last Answer : since mgs will come out for xbox360,i really hope it will also come out for pc.

Where can I watch E3 2009 on the Internet?

Description : Where can I watch E3 2009 on the Internet?

Last Answer : Gamespot

What would you like to see at E3 2009?

Description : What would you like to see at E3 2009?

Last Answer : Oooo videogames, I am a gamer and I would like demos

What do you think Nintendo will announce at E3 2008?

Description : What do you think Nintendo will announce at E3 2008?

Last Answer : that new “wii fit”.

The Xperia E3 mobile phone is gone, after the restart and charging it writes an SIm error and it doesn't work, please ....

Description : Unable to call, internet .... send messages

Last Answer : Need Answer

What were the best moments from E3 2019?

Description : What were the best moments from E3 2019?

Last Answer : E3 2019 has finally transpired, and all the big names in gaming have shown the world what they’re working on. What were the best moments from this year’s E3? Here’s our answer.Marvel’s Avengers ... titles, as well as some new surprises! What were your favorite moments from E3 this year?

I spoke to a Air Force Recruiter and they said that I would be disqualified because I have 3 dependants (my wife, 2 daughters). Is there a way to get a waiver so I can join the Air Force. I would be making more money, even as an E1, than I am now.?

Description : I spoke to a Air Force Recruiter and they said that I would be disqualified because I have 3 dependants (my wife, 2 daughters). Is there a way to get a waiver so I can join the Air Force. I would be making more money, even as an E1, than I am now.?

Last Answer : Each service is a little bit different. They usually provide a waiver but your finances and credit have to be very good. I will say that if your spouse "deserts" you or is seperated or your marriage is ... other way to do this is common law or seperate or be "deserted" as a matter of technicality.

Adenylate cyclase is activated by (A) Insulin (B) Glucagon (C) Prostaglandin E1 (D) Ca2+ ions

Description : Adenylate cyclase is activated by (A) Insulin (B) Glucagon (C) Prostaglandin E1 (D) Ca2+ ions

Last Answer : Answer : B

Which one of the following drugs is used in the treatment of male impotence and activates prostaglandin E1 receptors? (a) Alprostadil (b) Fluoxetine (c) Mifepristone (d) Sildenafil (e) Zafirlukast

Description : Which one of the following drugs is used in the treatment of male impotence and activates prostaglandin E1 receptors? (a) Alprostadil (b) Fluoxetine (c) Mifepristone (d) Sildenafil (e) Zafirlukast

Last Answer : Ans: A

Prove that a triangle must have at least two acute angles. -Maths 9th

Description : Prove that a triangle must have at least two acute angles. -Maths 9th

Last Answer : Given ΔABC is a triangle. To prove ΔABC must have two acute angles Proof Let us consider the following cases Case I When two angles are 90°. Suppose two angles are ∠B = 90° and ∠C = 90°

‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. -Maths 9th

Description : ‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. -Maths 9th

Last Answer : No, because in the congruent rule, the two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle i.e., SAS rule.

Prove that a triangle must have at least two acute angles. -Maths 9th

Description : Prove that a triangle must have at least two acute angles. -Maths 9th

Last Answer : Given ΔABC is a triangle. To prove ΔABC must have two acute angles Proof Let us consider the following cases Case I When two angles are 90°. Suppose two angles are ∠B = 90° and ∠C = 90°

‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. -Maths 9th

Description : ‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. -Maths 9th

Last Answer : No, because in the congruent rule, the two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle i.e., SAS rule.

What must be substract from x(to the power 4) + 3x(cube) + 4x(square) - 3x - 6 to get 3x(cube) + 4x(square) - x + 3? -Maths 9th

Description : What must be substract from x(to the power 4) + 3x(cube) + 4x(square) - 3x - 6 to get 3x(cube) + 4x(square) - x + 3? -Maths 9th

Last Answer : Solution :-

What must be added to 2x(square) - 5x + 6 to get x(cube) - 3x(square) + 3x - 5? -Maths 9th

Description : What must be added to 2x(square) - 5x + 6 to get x(cube) - 3x(square) + 3x - 5? -Maths 9th

Last Answer : Solution :-

Prove that a triangle must have atleast two acute angles. -Maths 9th

Description : Prove that a triangle must have atleast two acute angles. -Maths 9th

Last Answer : Solution :-

In how many ways can the letters of the word “AFLATOON” be arranged if the consonants and vowels must occupy alternate places? -Maths 9th

Description : In how many ways can the letters of the word “AFLATOON” be arranged if the consonants and vowels must occupy alternate places? -Maths 9th

Last Answer : 24 ways is the answer

In the given figure, line DE is parallel to line AB. CD = 3 while DA = 6. Which of the following must be true? -Maths 9th

Description : In the given figure, line DE is parallel to line AB. CD = 3 while DA = 6. Which of the following must be true? -Maths 9th

Last Answer : answer:

The Three attributes of project risk are _________, ___________ and ___________. 1. What might happen, who it happens to, and how much will it cost 2. Notification, frequency of5. Risk event, probability occurrence, the amount at stake relevant events, probability of occurrence 3. Risk cost, quality, control 4. Quality, risk planning, total number of risk events

Description : The Three attributes of project risk are _________, ___________ and ___________. 1. What might happen, who it happens to, and how much will it cost  2. Notification, frequency of relevant events, ... planning, total number of risk events 5. Risk event, probability occurrence, the amount at stake

Last Answer : 5. Risk event, probability occurrence, the amount at stake

Organic Chemistry: E2 reaction mechanism?

Description : Organic Chemistry: E2 reaction mechanism?

Last Answer : potassium tert-butoxide is a strong and exceptionally hindered base and therefore is only capable of abstracting primary (terminal) hydrogens in non-cyclic alkyl halides. The E2 mechanism is concerted, so there are no rearrangements.