Description : What is the probability that a number selected at random from the set of numbers {1, 2, 3, …, 100} is a perfect cube? -Maths 9th
Last Answer : (a) \(rac{1}{25}\) Let us assume S as the sample space in all questions. S means the set denoting the total number of outcomes possible. Let S = {1, 2, 3, , 100} be the sample space. Then, n(S) = 100 Let A : ... ∴Required probability P(A) = \(rac{n(A)}{n(S)}\) = \(rac{4}{100}\) = \(rac{1}{25}\)
Description : A box contains 100 balls numbers from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability -Maths 9th
Last Answer : (d) \(rac{1}{4}\)The box contains 100 balls numbered from 1 to 100. Therefore, there are 50 even and 50 odd numbered balls. The sum of the three numbers drawn will be odd, if all three are odd or one is even and 2 are odd. ∴ Required probability = P(odd) × P(odd) × P(odd) + P(even) × P(odd) × P(odd)
Description : A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4. a. 3/25 b. 2/25 c. 1/25 d. 13/50
Last Answer : b. 2/25
Description : Nine playing cards are numbered 2 to 10. A card is selected at random. What is the probability that the card will be an odd number? a. 1/9 b. 2/9 c. 4/9 d. 3/7
Last Answer : c. 4/9
Description : Which one of the following lists four type of coal, arranged in the increasing order of their carbon content? (a) Peat, Lignite, Bituminous, Anthracite (b) Peat, Bituminous, Lignite, Anthracite (c) Lignite, Peat, Bituminous, Anthracite (d) Peat, Anthracite, Lignite, Bituminous
Last Answer : Ans: (a)
Description : Lights of different colours are arranged below in order of increasing wavelengths: 1. Violet, indigo, blue 2. Green, orange, red 3. Red, green, indigo 4. Blue, green, yellow Which of the above are in proper sequence? (a) 1 only (b) 1 and 2 (c) 2 and 3 (d) 1 and 4
Last Answer : Ans:(d)
Description : In 1866, John Newlands, an English scientist, arranged the then known elements in the order of increasing atomic masses. He found that every eighth element had properties similar to that of the first. He called it ... of Pentamates (2) Law of musical notes (3) Law of Octaves (4) None of the above
Last Answer : (3) Law of Octaves Explanation: Newlands compared his discovery to the octaves found in music and thus, he called it the ‘Law of Octaves’. It is also known as ‘Newlands’ Law of Octaves’.
Description : The reactivity series is a list of metals arranged in order of A) Increasing reactivity B) Decreasing reactivity C) Increasing and decreasing reactivity D) None of the above
Last Answer : B) Decreasing reactivity
Description : If three natural numbersfrom 1 to 100 are selected randomly, then the probability that all are divisible by both 2 and 3 is -Maths 9th
Last Answer : (c) \(rac{4}{1155}\)Let n(S) = Number of ways of selecting 3 numbers from 100 numbers = 100C3 Let E : Event of selecting three numbers divisible by both 2 and 3 from numbers 1 to 100 = Event of selecting three ... C_3}{^{100}C_3}\) = \(rac{16 imes15 imes14}{100 imes99 imes98}\) = \(rac{4}{1155}\).
Description : In a class there are 15 boys and 10 girls. Three students are selected at random. The difference between the probability that 2 boys and 1 girl are selected compared to 1 boy and 2 girls are selected is: a) 23/78 b) 19/88 c) 15/92 d) 4/23 e) 7/46
Last Answer : 2 boys, 1 gi(Prl = (15c2×10c1) / 25c3 = 1050/2300 1 boy, 2 girls = (15c1×10c2) / 25c3 = 675/2300 Difference = (1050 - 675)/2300 = 375/2300 = 15/92 Answer: c)
Description : In a batch, there are 22 boys and 18 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is: a) 3754/8854 b) 4158/9880 c) 8514/9880 d) 2078/4920
Last Answer : Answer: B) Let , S - sample space E - event of selecting 1 girl and 2 boys. Then, n(S) = Number ways of selecting 3 students out of 40 = 40C3 = 9880 n(E) = 18C1 *22C2 = 18*231 = 4158 P(E) = n(E)/n(s) = 4158/9880
Description : The odd numbers from 1 to 45 which are exactly divisible by 3 are arranged in an ascending order. The number at 6 th position is (A) 18 (B) 24 (C) 33 (D) 36
Last Answer : Answer: C
Description : The letters ofthe word ‘NATIONAL’are arranged atrandom. What is the probability that the last letter will be T ? -Maths 9th
Last Answer : (c) \(rac{1}{8}\)Let S be the sample space.Then n(S) = Total number of ways in which the letters of word NATIONAL can be arranged= \(rac{8!}{2!\,2!}\) (∵There are 2A s and 2N's in 8 letters)Let E : Event of ... !}{2!\,2!}}\) = \(rac{7!}{8!}\) = \(rac{7!}{8 imes7!}\) = \(rac{1}{8}\).
Description : In a class, there are x girls and y boys, a student is selected at random, then find the probability of selecting a boy. -Maths 9th
Last Answer : Number of boys = y Total students = (x + y) Thus,P(a boy)= y/(x+y)
Description : 750 families with 3 children were selected randomly and the following data recorded If a family member is chosen at random, compute the probability that it has : -Maths 9th
Last Answer : (i) P(no boy child) =100 / 750 = 2 / 15 (ii) P (no girl child) = 120 /750 =4 / 25
Description : From a group of 3 man and 2 women, two person are selected at random. Find the probability that at least one women is selected. -Maths 9th
Last Answer : (b) \(rac{7}{10}\)Total number of ways of selecting 2 persons at random out of 5 persons = 5C2 ∴ n(S) = 5C2 = \(rac{|\underline5}{|\underline3|\underline2}\) = \(rac{5 imes4}{2 imes1}\) = 10Let A : Event of selecting ... = 2 3 + 1 = 7 ∴ Required probability = \(rac{n(A)}{n(S)}\) = \(rac{7}{10}\).
Description : Five horses are in a race. Mr A. Selects two of the horses at random and bets on them. The probability that Mr A selected the winning horse is -Maths 9th
Last Answer : (b) \(rac{2}{5}\)As each horse has equal chance of winning the race, Number of ways in which one of the five horses wins the race = 5C1 ∴ n(S) =5C1 = \(rac{|\underline5}{|\underline4|\underline1}\) 5To find the chance ... n(E) = 2C1 = 2 ∴ Required probability = \(rac{n(E)}{n(S)}\) = \(rac{2}{5}\).
Description : Form, a cosmetic shop containing perfumes and does, a pair is selected at random. The probability that the selected pair will consist of one perfume a
Last Answer : Form, a cosmetic shop containing perfumes and does, a pair is selected at random. The probability ... of perfumes and does the shop can contain ?
Description : A mathematics book contains 250 pages. A page is selected at random. What is the probability that the number on the page selected is a perfect square?
Last Answer : A mathematics book contains 250 pages. A page is selected at random. What is the probability that the number on the page ... `(3)/(50)` D. `(7)/(125)`
Description : A box contains 50 tickets. Each ticket is numbered from 1 to 50. One ticket is selected at random, find the probability that the number on the ticket
Last Answer : A box contains 50 tickets. Each ticket is numbered from 1 to 50. One ticket is selected at random ... number on the ticket is not a perfect square.
Description : A Class IX English book contains 200 pages. A page is selected at random. What is the probability that the number on the page is divisible by 10?
Last Answer : A Class IX English book contains 200 pages. A page is selected at random. What is the probability that the number on the page is divisible by 10?
Description : A day is selected in a week, find the probability that the day is Monday.
Last Answer : A day is selected in a week, find the probability that the day is Monday.
Description : What is the probability that a leap year selected at random will have 33 Sunday?
Last Answer : Need answer
Description : In a company there are 11 executives: six women five men. Four are selected at attend a management seminar. Find the probability that all four selected are men.?
Last Answer : i dont know
Description : In a large population, 54 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Last Answer : We will use Q and P to help solve this problem with Q representing the possibility that none of the randomly selected people are vaccinated and P representing the possibility that at least 1 randomly selected ... -0.0206=0.9794. The probability that at least 1 person has been vaccinated is 0.9794.
Description : A box contains 15bolts of which 5 are defective. If 5 bolts are selected at random from the box, what is the probability that at least one of them is defective? a) 91/143 b) 101/143 c) 111/143 d) 121/143 e) 131/143
Last Answer : Probability that at least one is defective = 1 – probability that none is defective Probability that none is defective = 10C5 / 15C5 = 12/143 Required Probability = 1-12/143 = 131/143 Answer: e)
Description : What is the probability that a two digit number selected at random will be a multiple of '3' and not a multiple of '7'? e) 13/45 f) 14/45 g) 23/90 h) 19/45
Last Answer : Answer: a
Description : In a recent research study initiated by Tel-E-Fone Telecommunications, survey calls were made to a randomly selected group in which every member has an equal chance of selection. This type of sample selection ... sample B. Convenience sample C. Judgment sample D. Quota sample E. Area sample
Last Answer : A. Probability sample
Description : What is the probability that a randomly selected bit string of length 10 is a palindrome? (A) 1/64 (B) 1/32 (C) 1/8 (D) ¼
Last Answer : (B) 1/32
Description : Murali and his wife appear in an interview for two vacancies in the same post. The probability of murali's selection is (1/6) and the probability of wife's selection is (1/4). What is the probability that only one of them is selected ? A) 8/25 B) 1/7 C) 3/4 D) 1/3
Last Answer : Answer: D)
Description : In a hostel, 40% of the students play cricket, 20% play chess and 10% both. If a student is selected at random, then the probability that he plays cricket or chess is: a) 1/2 b) 3/5 c) 1/4 d) 4/7
Last Answer : Answer: A) Given that, 40% play cricket; that is, P(C) = 40/100=4/10 20% play chess; that is, P(c) = 20/100 =2/10 And, 10% play both cricket and chess; that is, P(C And c) = 10/100 = 1/10 Now, we have ... P(C) + P(c) - P(C And c) = 4/20+2/10-1/10 =5/10=1/2 Hence, the required probability 1/2
Description : In a batch, 40% of the students offered Maths, 30% offered science and 15% offered both. If a student is selected at random, what is the probability that they has offered science or maths? A) 0.55 B) 0.65 C) 0.45 D) 0.75
Last Answer : Answer: A) P(M) = 0.40 P(S) =0.30 and P(M∩S) = 0.15 P(M∪S) = P(M) + P(S) - P(M∩S) = 0.55
Description : Which of the following compounds are arranged in increasing oxidation number of S :-
Last Answer : Which of the following compounds are arranged in increasing oxidation number of S :- A. `H_(2)SO_(3),H_(2)S,H_(2 ... (2)O_(3),H_(2)SO_(3),H_(2)SO_(4)`
Description : Law of octaves says that if the chemical elements are arranged according to increasing atomic weight, those with similar physical and chemical properties occur after each interval of elements
Last Answer : 7
Description : The first step in the Monte Carlo simulation process is to _____. a) generate random numbers b) set up cumulative probability distributions c) establish random number intervals d) set up probability distributions
Last Answer : d) set up probability distributions
Description : Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is equal to 7? a. 5/9 b. 5/36 c. 1/6 d. 0
Last Answer : c. 1/6
Description : [Fluff time] What was the largest amount (as in numbers of bulbs) of Christmas lights you ever hung or arranged in any of the places you ever called home?
Last Answer : For me, personally, I think it’s 1000. Five 200 bulb strands. All inside.
Description : The treatment of the following patient should include: a. Initial empiric therapy directed against both aerobes and anaerobes b. The addition of anti-fungal therapy in an elderly patient ... therapy is appropriate if the agents selected possess activity against both aerobic and anaerobic bacteria
Last Answer : Answer: a, e The primary treatment for a perforated viscus is surgical, however antimicrobial therapy is an extremely important adjunct. Empiric antibiotic therapy for secondary ... whereas longer periods are indicated for immunosuppressed patients and with patients with extensive contamination
Description : If power were lost to the winch shown in the illustration while in 'second point hoist' the winch would stop. When power is restored the winch would ______________. EL-0102 A. continue to run at ' ... switch' is returned to 'off' closing the 'reset' contacts and then moved to any 'run' position
Last Answer : Answer: D
Description : As shown in the two illustrations for 'pitch control' and engine speed control', when the plant is in 'AUTO / CRUISE' propeller pitch is controlled by ___________. EL-0095 A. the 'trim potentiometer' and ... and speed by its 'trim pot'. D. either 'thrust lever' and speed by the 'trim potentiometer'
Description : An auditor should design the written audit program so that a. All material transactions will be selected for substantive testing. b. Substantive tests prior to the balance sheet date ... controls or tests of transactions. d. The audit procedures selected will achieve specific audit objectives
Last Answer : The audit procedures selected will achieve specific audit objectives
Description : An auditor should design a written audit program so that: a. All material transactions will be selected for substantive testing. b. Substantive tests prior to the balance sheet date will be minimized ... . d. Each account balance will be tested under either tests of controls or tests of transactions
Description : In Frame Relay, when. ______ is selected, it requires establishing andterminatingphases A) a PVC B) an SVC C) either (a) or (b) D) neither (a) nor (b)
Last Answer : an SVC
Description : In Frame Relay, when a _____ is selected, the correspondingtable entry is recorded for all switches by the administrator A) PVC B) SVC C) either (a) or (b) D) neither (a) nor (b)
Last Answer : PVC
Description : In a certain city, 5% of all the persons in town have unlisted phone numbers. If you select 100 names at random from that city's phone directory, how many people selected will have unlisted phone numbers? -Riddles
Last Answer : None. If their names are in the phone directory, they do not have unlisted phone numbers!
Description : A set of 121 chairs needs to be arranged in a square formation for a school assembly. How many chairs should be lined up in each row?
Last Answer : 1
Description : In human beings, the statistical probability of getting either a male or female child is 50 : 50. Give a suitable explanation. -Biology
Last Answer : If a Y bearing sperm fertilizes the egg, the zygote will be a male (XY) and when X bearing sperm fertilizes the egg, the resulting zygote will be female (XX). Since the ratio of the X chromosome ... in a male gamete is 50:50. The statistical probability of male or female infants is also 50:50.
Description : Two cards are drawn from a pack of 52 cards. What is the probability that either both are red or both are kings ? -Maths 9th
Last Answer : Let S : Drawing 2 cards out of 52 card A : Drawing 2 red cards B : Drawing 2 kings A ∪ B : Drawing 2 red cards or 2 kings ∴ n(S) = 52C2 n(A) = 26C2 (∵ There are 26 red cards) n(B) = 4C2 ... \(rac{4 imes3}{52 imes51}\) - \(rac{2}{52 imes51}\) = \(rac{660}{2652}\) = \(rac{55}{221}.\)