Question

Six coin are tossed simultaneously. Find the probability of getting

(i) no head

(ii) at least one head.

Answer 1

Let p = Probability of getting a head in the toss of a coin = 1/2

So, q = Prob. of not getting a head = 1 - P = 1 - 1/2 = 1/2

Let X = Number of success in the experiment

So, X can take value 0,1,2,3,4,5,6 i.e. n = 6

Now, P(X = r) = ncrpr . qn-r