Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that three apply for the same house is

Solution :

\(\therefore\)  Total number of cases = \(3^3\)

Now, favourable cases = 3(as either all has applied for house 1 or 2 or 3)

\(\therefore\) Required Probability = \(3\over 3^3\) = \(1\over 9\)

Similar Questions

The probability of India winning a test match against the west indies is 1/2 assuming independence from match to match. The probability that in a match series India’s second win occurs at the third test is

A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is

If A and B are two mutually exclusive events, then

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is

At a telephone enquiry system, the number of phone calls regarding relevant enquiry follow. Poisson distribution with an average of 5 phone calls during 10 min time intervals. The probability that there is almost one phone call during a 10 min time period is

Leave a Comment

Your email address will not be published.