Question

Solution

Correct option is

3/5

Let A denote the event that the runner succeeds exactly 3 times out of five and B denote the event that the runner succeeds on th first trial. But P(B ∩ A) = P (succeeding in the first trial and exactly once in two other trials)   SIMILAR QUESTIONS

Q1

Six distinct numbers are selected from first 150 natural numbers. The probability all the six numbers are divisible both by 3 and 5 is

Q2

There are two balls in an urn whose colours are not known (each ball can be either white or black). A white ball is put into the urn. A ball is drawn from the urn. The probability that it is white is

Q3

A natural number x is chosen at random from the first one hundred natural numbers. The probability that is

Q4

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

Q5

If AB and C are the events such that P(B) = 3/4, P(A ∩ B ∩ C’) = 1/3P(A’ ∩ B ∩ C’) = 1/3, then P (B ∩ C) is equal to

Q6

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Q7

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Q8

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Q9

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Q10

Three integers are chosen at random without replacement from the first 20 integers. The probability that their product is even 2/19.