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

1 Answer

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, throwing an even number or an odd number with a dice are all mutually exclusive events. Here, the occurrence of an event rules out the happening of the other event in the same experiment, i.e,. If we toss a coin, we can never get a head and a tail in the same toss. Ex : Suppose a card is drawn from a pack of cards and we define events as below : A : The card drawn is a spade ; B : The card drawn is a heart ; C : The card drawn is a king. A and B are mutually exclusive, since if a card is a spade, it cannot be a heart, i.e, if A occurs, B cannot occur and vice versa. On the other hand, events A and C are not mutually exclusive as the card can be the king of spades. Similarly for B and C, the card can be king of hearts.

Related questions

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.

Description : Are Two events mutually exclusive if they have no outcomes in common.?

Last Answer : Need answer

Description : Define Not-Mutually Exclusive events.

Last Answer : Ans: If two events A & B have some thing common in sample space S then the event will be Not-Mutually exclusive event.

Description : Define Mutually Exclusive events.

Last Answer : Ans: If two events A & B have nothing common in sample space S then the event will be mutually exclusive event.

Description : Are cynicism and naïveté mutually exclusive?

Last Answer : No, only a cynic would consider someone not cynical as naive. There are a lot of people with a positive outlook on life that are not naive nor are they cynical. I am one, I am well aware of ... that most of the world is generally positive and attempting as best they can to bring light to the world.

Description : Are neurons and neurotransmitters mutually exclusive?

Last Answer : answer:I don't know why you asked this but I sure like the question. Here's what I found, according to Rebecca Seal, a neuroscientist at the University of California, San Francisco: (excerpt) ... cells-in other words, certain branches of a single neuron release glutamate, and others do not. Source

Description : Regarding women (not men) in the family, have you heard the phrase, "She got the beauty, I got the brains" as if the two are mutually exclusive.

Last Answer : These are all very interesting questions – I think it is a relatively new phenomenon that one of the sisters even gets ‘the smart one’ label.

Description : Are self-improvement and being yourself mutually exclusive? Which is more important?

Last Answer : “Acting natural” is a paradox. Better to be natural, though that doesn’t prevent a person from improving themselves.

Description : A project whose acceptance requires the acceptance of one or more alternative projects is referred to as . A. a mutually exclusive project B. an independent project C. a dependent project D. None of the above

Last Answer : B. an independent project

Description : A project whose acceptance precludes the acceptance of one or more alternative projects is referred to as . A. a mutually exclusive project. B. an independent project. C. a dependent project. D. a contingent project.

Last Answer : A. a mutually exclusive project.

Description : Which of the following is not a potential for a ranking problem between two mutua lly exclusive projects? A. The projects have unequal lives that differ by several years. B. The ... dramatically. D. One of the mutually exclusive projects involves replacement while the other involves expansion.

Last Answer : A. The projects have unequal lives that differ by several years.

Description : Which of the following statements is correct regarding the internal rate of return (IRR) method? A. Each project has a unique internal rate of return. B. As long as you are not dealing with ... of return is rarely used by firms today because of the ease at which net present value is calculated

Last Answer : D. The internal rate of return is rarely used by firms today because of the ease at which net present value is calculated.

Description : A project whose acceptance requires the acceptance of one or more alternative projects is referred to as . A. a mutually exclusive project. B. an independent project. C. a dependent project D. a contingent project E. none of the above

Last Answer : A. a mutually exclusive project.

Description : A project whose acceptance precludes the acceptance of one or more alternative projects is referred to as . A. a mutually exclusive project. B. an independent project. C. a dependent project D. a contingent project

Last Answer : C. a dependent project

Description : Which of the following is not a potential for a ranking problem between two mutua lly exclusive projects? A. The projects have unequal lives that differ by several years. B. The ... dramatically. D. One of the mutually exclusive projects involves replacement while the other involves expansion

Last Answer : A. The projects have unequal lives that differ by several years

Description : Which of the following statements is correct regarding the internal rate of return (IRR) method? A. Each project has a unique internal rate of return. B. As long as you are not dealing with ... of return is rarely used by firms today because of the ease at which net present value is calculated.

Last Answer : D. The internal rate of return is rarely used by firms today because of the ease at which net present value is calculated.

Description : A project whose acceptance requires the acceptance of one or more alternative projects is referred to as . A. a mutually exclusive project. B. an independent project. C. a dependent project D. a contingent project E. none of the above

Last Answer : A. a mutually exclusive project.

Description : A project whose acceptance precludes the acceptance of one or more alternative projects is referred to as . A. a mutually exclusive project. B. an independent project. C. a dependent project D. a contingent project

Last Answer : C. a dependent project

Description : Which of the following is not a potential for a ranking problem between two mutua lly exclusive projects? A. The projects have unequal lives that differ by several years B. The ... dramatically D. One of the mutually exclusive projects involves replacement while the other involves expansion

Last Answer : A. The projects have unequal lives that differ by several years

Description : Which of the following statements is correct regarding the internal rate of return (IRR) method? A. Each project has a unique internal rate of return B. As long as you are not dealing with ... of return is rarely used by firms today because of the ease at which net present value is calculated

Last Answer : D. The internal rate of return is rarely used by firms today because of the ease at which net present value is calculated.

Description : What is called inconsistent support? a) If two literals are not negation of other b) If two literals are negation of other c) Mutually exclusive d) None of the mentioned

Last Answer : b) If two literals are negation of other

Description : The three major functions of business organizations (a) are mutually exclusive ; (b) exist independently of each other ; (c) overlap (d) function independently of each other

Last Answer :  (c) overlap

Description : if xylogxy/x+y, yzlogyz/y+z and zxlogzx/z+x are mutually equal, then show that x^x= y^y=z^z -Maths 9th

Last Answer : NEED ANSWER

Description : if xylogxy/x+y, yzlogyz/y+z and zxlogzx/z+x are mutually equal, then show that x^x= y^y=z^z -Maths 9th

Last Answer : This answer was deleted by our moderators...

Description : The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) and C(a, 0) are mutually perpendicular if -Maths 9th

Last Answer : (c) \(rac{b+k}{f+h}\)Let the slope of the lin passing through the points (-k, h) and (b, - f) be m1. Then m1 = \(rac{-f-h}{b+k}\) = \(-\bigg(rac{f+h}{b+k}\bigg)\)\(\bigg[Slope = rac{y_2-y_1}{x_2-x_1}\bigg]\) ... \(-rac{1}{m_1}\)= \(rac{-1}{-\big(rac{f+h}{b+k}\big)}\) = \(\bigg(rac{b+k}{f+h}\bigg)\)

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.

Description : Which one of the following aspects is an exclusive characteristic of living things? (a) Isolated metabolic reactions occur in vitro (b) Increase in mass from inside only (c) Perception of events ... memory. (d) Increase in mass by accumulation of material both on surface as well as internally

Last Answer : (d) Increase in mass by accumulation of material both on surface as well as internally.

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.

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

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 \(rac{5}{7}\) = \(rac{26}{49}.\)

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.

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

Last 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⇒ ... \(rac{1-rac{23}{88}}{rac{23}{88}}\) = \(rac{rac{65}{88}}{rac{23}{88}}\) = 65 : 23.

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.

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)= \(rac{4 imes3 imes2}{4 imes4 imes4}\) = \(rac{3}{8}\).

Description : If you are attracted to your step-cousin and they are mutually attracted to you, is it acceptable to marry them and what do you think the consequences might be?

Last Answer : As long as you were raised separately and there's no genetic relationship, I don't see the problem.

Description : Could a Scandinavian language be developed that is mutually intelligable to all four?

Last Answer : As you noted, they are close enough that native speakers can comprehend what is being said in one fo the other four. They are as close as Italian is to French, Spanish, and Portuguese.

Description : What OTC analgesics are mutually potentiating and safe in combination?

Last Answer : Happy Brownies are a safe compliment to any OTC analgesics. ;-) Otherwise it’s probably best to consult with a doctor or pharmacist to be on the safe side.

Description : Can you figure out why 3 knights on a chess board can't mutually attack one another?

Last Answer : Knights move to the opposite-colored square. Knight A on a white square can attack knight B on a black square, while knight B can attack knight C on a white square, but knights A and C are on the same-colored squares, so cannot attack each other.

Description : Which languages are mutually intelligible?

Last Answer : I often feel a french speaker can understand the jist of what a spanish speaker is saying (or it’s like that for me anyway) and the same goes for sanskrit and hindi speakers. (though hindi developed from sanskrit, so that’s probably one reason for that)

Description : M.I. of sphere of 0.5 m radius about a mutually perpendicular axis (Z-axis) when its M.I. about X-axis and Y-axis are 50 kgm2 and 50 kgm2 is a.50 Kgm2 b.Tapered bearing c.100 Kgm2 d.25 Kgm2 e.12.5 Kgm2

Last Answer : a. 50 Kgm2

Description : A charged particle with a velocity `2xx10^(3) ms^(-1)` passes undeflected through electric field and magnetic fields in mutually perpendicular directi

Last Answer : A charged particle with a velocity `2xx10^(3) ms^(-1)` passes undeflected through electric field and magnetic fields ... 1)` D. `1.33xx10^(3)NC^(-1)`

Description : A charged particle of specific charge s moves undeflected through a region of space containing mutually perpendicular and uniform electric and magneti

Last Answer : A charged particle of specific charge s moves undeflected through a region of space containing mutually perpendicular and ... D. `(E)/(B^(2)S)`

Description : Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.

Last Answer : Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.

Description : What are the two complementary and mutually supporting communities within the Army Proession?

Last Answer : Need answer

Description : Which one of the following statements regarding section 34 and section 149 of  Indian Penal Code is correct? a) Common intention and common object are same b) Both are distinct offences in ... section 149 creates a specific offence. d) Section 34 and 149 are mutually halping sections.

Last Answer : c) Section 34 enunciates a mere principle of liability and creates no offence while  section 149 creates a specific offence.

Description : Principal planes are mutually inclined at a. 45 degree b. 60 degree c. 90 degree d. 180 degree

Last Answer : c. 90 degree

Description : Which of the following formulae is used to calculate tangential stress, when a member is subjected to stress in mutually perpendicular axis and accompanied by a shear stress? a. [(σ x - σ y )/2 ]sin θ - τ cos 2θ b. [(σ x - ... τ cos 2θ c. [(σ x - σ y )/2 ]sin θ - τ 2 cos θ d. None of the above

Last Answer : c. [(σ x – σ y )/2 ]sin θ – τ 2 cos θ