List of top Quantitative Aptitude Questions on Probability

\(A\) and \(B\) are the independent events such that \(P(AUB)= \frac {7}{10}\) and \(P(B)=\frac 58\). Then \(P(A)\) is equal to:

In a single throw of two dice, what is the probability that sum of the numbers appearing on the two dice is a prime number?

The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is

The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is

Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosing physics as one of their subjects is 25. The smallest possible number of students who could choose chemistry as one of their subjects is

A bag contains some red, some green and 9 blue balls. Ratio of number of red to green ball in the bag is 5:4. If the probability of drawing a red ball is \(\frac{1}{6}\) more than that of drawing a blue ball then find the probability of getting three different coloured ball when three balls are drawn from the bag one after another and without replacement.

In a box there are (x + 5) red balls, ‘x’ blue balls and (x + 1) black balls. If the probability of picking two blue balls at random is 1/35, then find the value of ‘x’.

A box contains 4 blue, 2 green and 3 red balls and another box contains 4 red, 3 green, and 5 blue balls. A ball is picked up at random from one of the boxes. What is the probability that the ball is blue?

A blind man lives in an apartment containing 2 rooms. Each day before going to work he enters any one room randomly, picks up a bag and leaves home. One of the rooms contains 3 blue, 4 green and 5 red bags and the other contains 2 blue, 1 green and 3 red bags. What is the probability that he takes a green bag to his workplace?

What is the probability that a two-digit positive integer N has the property that the difference of N and the number obtained by reversing the order of its digits is a perfect cube?

What is the probability that a two-digit positive integer N has the property that the sum of N and the number obtained by reversing the order of its digits is a perfect square?

What is the probability that a five-digit number has at least one zero in it?

In a shooting competition, all the shooters should hit the letter space in which letter 'A' is written as shown on the target board below. What is the probability that the shooter will hit that space?

There are 15 books on a shelf, 5 of which are on fiction. If five books are selected at random, find the probability that 4 of them are books on fiction.