Suppose families always have one, two or three children, with probabilities 1/4, 1/2, and 1/4, respectively. Assume everyone eventually gets married and has children, then find the probability of a couple have exactly four grandchildren.

Suppose families always have one, two, or three children, with probabilities 1/4, 1/2, and 1/4, respectively. Assume everyone eventually gets married and has children, then find the probability of a couple having exactly four grandchildren.

Four persons can hit a target correctly with probabilities (1)/(2),(1)/(3),(1)/(4) and (1)/(8) respectively. If all hit at the target would be hit, is

Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is

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 not can solve it.

Two dice are numbered 1,2,3,4,5,6 and 1,1,2,2,3,3 respectively. They are rolled and the sum of the numbers on them is noted. Find the probability of gettting each sum from 2 to 9 separately.

A couple has two children. Find the probability that both children are males, if it is known that atleast one of the children is male. ii. Find the probability that both children are females, if it is known that the eIder chiId is a female.

Suppose a fair die is rolled. Find the probability of getting (1) an even number (2) multiple of three

An amobeba either splits into two or remains the same or eventually dies out immediately after completion of evary second with probabilities, respectively, 1/2, 1/4 and 1/4. Let the initial amoeba be called as mother amoeba and after every second, the amoeba, if it is distinct from the previous one, be called as 2nd, 3rd,...generations. The probability that immediatly after completion of 2 s all the amoeba population dies out is

An amobeba either splits into two or remains the same or eventually dies out immediately after completion of evary second with probabilities, respectively, 1/2, 1/4 and 1/4. Let the initial amoeba be called as mother amoeba and after every second, the amoeba, if it is distinct from the previous one, be called as 2nd, 3rd,...generations. The probability that amoeba population will be maximum after completion of 3 s is