A coin is tossed (m + n) times `(m gtn).` Show that the probability of at least m consecutive heads is `(n+2)//2^(m+2).`

A coin is tossed 7 times. Then the probability that at least 4 consective heads apear is

A coin is tossed n times. Find the probability of odd numbers of heads.

Answer the following questions: Two persons toss a fair coin n times each. Show that the probability of their scoring same no. of tails is ((2n)/n).(2^(-2n)) .

An unbiased coin is tossed 6 times. Find the probability of at least five heads by binomial distribution.

If a fair is tossed 10 times, find the probability of at least six heads.

A coin is tossed 2n times. The probability of getting head n times, is -

A fair coin is tossed 10 times. The probability of getting exactly 6 heads is -

Six coins are tossed simultaneously. Find the probability of getting at least one head.

A coin is tossed n times. The probability of getting head at least once is more than 0.8 , then the value of n is

A coin has probability p of showing head when tossed. It is tossed n times. Let P_n denote the probability that no two (or more) consecutive heads occur. Prove that P_1 = 1,P_2 = 1 - p^2 and P_n= (1 - p) P_(n-1) + p(1 - p) P_(n-2) for all n geq 3 .