Minimum number of times a fair coin must be tossed, so that the probability of getting at least one head, is more than 99 % is

Step-by-step solution

Let the coin be tossed ' n ' number of times. Probability of getting head is p = 1 2 array ll & q =1- 1 2 = 1 2 & P ( X 1) 99 100 & 1- P ( X =0) 99 100 & 1- ( 1 2 )^n 99 100 & ( 1 2 )^n 1 100 & 100 2^n array Minimum value of n is 7 .