 ## The probability of winning a match is 0.25. If a person plays four matches, what are the chances tha….

The probability of winning a match is 0.25. If a person plays four matches, what are the chances that he will win at least one of the four matches?

## A box contains 15 balls. Of these balls, five are each of a different colour and the rest are all wh….

A box contains 15 balls. Of these balls, five are each of a different colour and the rest are all white. Five balls are drawn at random from the box. What is the probability that four balls are colored and one is white?

## There are three urns A, B and C Urn A contains 4 white balls and 5 blue balls. Urn B contains 4 whit….

There are three urns A, B and C Urn A contains 4 white balls and 5 blue balls. Urn B contains 4 white balls and 3 blue balls. Urn C contains 2 white balls and 4 blue balls. One ball is drawn from each of these urns. What is...

## The probability of A, B and C solving a problem are 1/3, 2/7 and 3/8 respectively. If all the three ….

The probability of A, B and C solving a problem are 1/3, 2/7 and 3/8 respectively. If all the three try to solve the problem simultaneously, find the probability that exactly one of them can solve it.

## An anti-aircraft gun can take a maximum of 4 shots at an enemy plane moving away from it. The probab….

An anti-aircraft gun can take a maximum of 4 shots at an enemy plane moving away from it. The probabilities of hitting the plane in the first, second, third and fourth shots are 0.4, 0.3, 0.2 and 0.1, respectively. What is the probability that the gun hits the plane?

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## Two integers are selected at random from integers 1 through 11. If the sum is even, find the probabi….

Two integers are selected at random from integers 1 through 11. If the sum is even, find the probability that both the numbers are odd

## A basket contains 20 apples and 10 oranges, out of which 5 apples and 3 oranges are bad. If a person….

A basket contains 20 apples and 10 oranges, out of which 5 apples and 3 oranges are bad. If a person takes out 2 fruits at random, then what is the probability that either both will be apples or both will be good?

## An integer is chosen at random from the numbers ranging from 1 to 50. What is the probability that t….

An integer is chosen at random from the numbers ranging from 1 to 50. What is the probability that the integer chosen is a multiple of 2 or 3 or 10?

## A five-digit number is formed by the digits 1, 2, 3, 4 and 5 without repetition. Find the probabilit….

A five-digit number is formed by the digits 1, 2, 3, 4 and 5 without repetition. Find the probability that the number is divisible by 4.

## The number of 3 digit numbers lying between 100 and 999 (inclusive) and having only two consecutive ….

The number of 3 digit numbers lying between 100 and 999 (inclusive) and having only two consecutive digits identical is

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