The probability that a particular day in the month of July is a rainy day is `3/4` . Two person whose credibility are `4/5` and `2/3` , respectively, claim that 15th July was a rainy day. Find the probability that it was really a rainy day.

Find the probability that the birth days of six different persons will fall in exactly two calendar months.

Three persons work independently on a problem. If the respective probabilities that they will solve it are 1/3, 1/4 and 1/5, then find the probability that none can solve it.

Three critics review a book. Odds in favour of the book are 5:2, 4:3 and 3:4 respectively for three critics. Find the probability that the majority are in favour of the book.

A picnic is arranged to be held on a particular day. The weather forecast says that there is 80% chance of rain on that day. If it rains, the probability of a good picnic is 0.3 and if it does not, the probability is 0.9. What is the probability that the picnic will be good ?

A picnic is arranged to be held on a particular day. The weather forecast says that there is 80% chance of rain on that day. If it rains, the probability of a good picnic is 0.3, and if it does not, the probability is 0.9. What is the probability that the picnic will be good ?

A problem on mathematics is given to three students A, B, C whose probabilities of solving it are (1)/(3), (2)/(5) and (3)/(4) respectively. Find the probability that the problem is solved.

If the mean and variance of a certain binomal distribution are 4 and 3.2 respectively, find the probability of at least one success.

The odds that a book will be favourably reviewed by three independent critics are 5 to 2, 4 to 3 and 3 to 4 respectively, what is the probability that of the three a majority will be favourable ?

A bag contains 5 white and 4 black balls. If 3 balls are drawn at random, find the probability that at least two of them are white.

A bag contains 5 white and 4 black balls.If 3 balls are drawn at random,find the probability that at least two of them are white.