A coin is tossed until a head appears or the tail appears 4 times in succession. Find the probability distribution of the number of tosses.

A fair die is tossed twice.If the number appearing on the top is less than 3, it is a success.Find the probability distribution of number of successes.

A biased coin with probability p,0

(a) (i) Find the probability distribution of the number of heads when three coins are tossed simultaneously. (ii) Find the probability distribution of the number of tails in the simultaneous tosses of three coins. (iii) Find the probability distribution of the number of heads in the simultaneous toss of four coins. (b) (i) Find the probability distribution of the number of heads in three tosses of a coin. (ii) Find the probability distribution of the number of sixes in two tosses of a die. ( c ) Find the probability distribution of the number of heads (tails) in four tosses of a coin.

A biased coin is tossed repeatedly until a tail appears for the first time. The head is 3 times likely to appear as the tail. The probability that the number of tosses required will be more than 4, given that in first two toss no tail has occur, is

A biased coin with probability p(0 lt plt 1) of falling tails is tossed until a tail appears for the first time. If the probability that tail comes in odd number of trials is (2)/(3) , then p equals

A coin is biased so that the head is 3 times as likely to occur as tail. If the coin is tossed three times, find the probability distribution of number of tails.