Question

A coin is tossed three times, if head occurs on first two tosses, find the probability of getting head on third toss. Select the correct answer from above options

Answer 1

Here, `A = `Event that head occurs on first two tosses. `A = {HHT,HHH}` `:. n(A) = 2` Let `B = `Event that head appears on the third toss. `B = {HHH,HTH,T TH,THH}` Now, `(AnnB) = {(HHH)}` `=>n(AnnB) = 1` `:.` Required probability , `P(B/A) = (n(AnnB) )/(n(A)) = 1/2.`