JEE Questions for Maths Probability Quiz 11

If the probability of a horse A winning a race is ¼ and the probability of a horse B winning the same race is 1/5, then the probability that either of them will win the race is

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

The probabilities that A and B will die within a year are p and q respectively, then the probability that only one of them will be alive at the end of the year is

0%
0%
2)
0%
0%

In a certain population 10% of the people are rich, 5% are famous and 3% are ricj and famous. The probability that a person picked at random from the population is either famous or rich but not both is equal to

0%
0.07
0%
0.08
0%
0.09
0%
0.12

0%
0%
2)
0%
0%

Let A and B be two events such that P(A) = 0.3 and P(A  B) = 0.9. If A and B are independent events, then P(B) =

0%
0%
2)
0%
0%

For two given events A and B, P(A ∩ B) =

0%
0%
2)
0%
0%
All of the above

0%
0%
2)
0%
0%
None of these

The two events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A and B occur simultaneously is 0.14. Then the probability that neither A nor B occurs is

0%
0.39
0%
0.25
0%
0.904
0%
None of these

Twelve tickets are numbered 1 to 12. One ticket is drawn at random, then the probability of the number to be divisible by 2 or 3 is

0%
0%
2)
0%
0%

Three athlete A, B and C participate in a race competition. The probability of winning A and B is twice of winning C, Then the probability that the race win by A or B is

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

In a city 20% persons read English newspaper, 40% read Hindi newspaper and 5% read both newspaper. The percentage of non-reader either paper is

0%
60%
0%
35%
0%
25%
0%
45%

0%
0%
2)
0%
0%

The probability that a man will be alive in 20 years is 3/5 and the probability that his wife will be alive in 20 years is 2/3. Then the probability that at least one will be alive in 20 years is

0%
0%
2)
0%
0%
None of these

0%
0.50
0%
0.77
0%
0.35
0%
0.87

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of the above

In a class of 125 students 70 passed in Mathematics, 55 in Statistics and 30 in both. The probability that a student selected at random from the class has passed in only one subject is

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of the above

Let E₁, E₂, E₃ be three arbitrary of a sample space S. Consider the following statements which of the following statements are correct

0%
0%
2)
0%
0%

If A and B are arbitrary events, then

0%
0%
2)
0%
0%
None of the above

0%
Independent
0%
Mutually exclusive
0%
Mutually exclusive
0%
Dependent

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

Let A and B are two independent events. The probability that both A and B occur together is 1/6 and the probability that either of them occurs is 1/3. The probability of occurrence of A is

0%
0 or 1
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0.61
0%
0.39
0%
0.48
0%
None of these

0%
0%
2)
0%
0%

A die is thrown. Let A be the event that the number obtained in greater than 3. Let B be the event that the number obtained is less than 5. P(A  B) is

0%
0
0%
1
0%
2/5
0%
2/5

An experiment has 10 equally likely outcomes. Let A and B non-empty events of the experiment. If A consists of 4 outcomes, the number of outcome that B must have so that A and B are independent is

0%
2, 4 or 8
0%
3, 6 or 9
0%
4 or 8
0%
5 or 10

0%
0.1
0%
0.3
0%
0.4
0%
0.2

0%
b and c
0%
b only
0%
c only
0%
d only

The probability distribution of a random variable X is given as

0%
0%
2)
0%
0%
0%

Two dice tossed once. The probability of getting an even number at the first die or a total of 8 is

0%
0%
2)
0%
0%

Two dice are thrown. What is the probability that the sum of the numbers appearing on the two dice is 11, if 5 appears on the first

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

In a single throw of two dice what is the probability of obtaining a number greater than 7, if 4 appears on the first dice

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%
None of these

If the events A and B are mutually exclusive, then P(A/B) =

0%
0
0%
1
0%
0%

If E and F are independent events such that 0 < P(E) < 1 and 0 < P(F) < 1, then

0%
E and Fc (the complement of the event F) are independent
0%
Ec and Fc are independent
0%
0%
All of the above

0%
0%
2)
0%
0%

Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2 respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is

0%
0.06
0%
0.14
0%
0.2
0%
0.7

A pair has two children. If one of them is boy, then the probability that other is also a boy is

0%
0%
2)
0%
0%
None of these

Three coins are tossed. If one of them shows tail, then the probability that all three coins show tail is

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
All of these

One Indian and four American and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wire is

0%
0%
2)
0%
0%

JEE Questions for Maths Probability Quiz 11 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Probability Quiz 11 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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