Question

A game consists of tossing a one-rupee coin 3 times and noting the outcome each time. Ramesh will win the game if all the tosses show the same result, (i.e., either all three heads or all three tails) and loses the game otherwise. Find the probability that Ramesh will lose the game.

Answer 1

S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} 

n (S) = 8 

Same result on all the tosses (A) = {HHH, TTT}, 

n (A) = 2

P (Ramesh will lose the game) = 1 - 2/8 = (8-2)/8 = 6/8 = 3/4