Krishna
0

Step 1: Perform the given event and note down the all the possible outcomes.

EVENT: Tossing the coin 3 times

Total number of out comes n(A)= {(H, H, H), (H, H, T), (H, T, H), (T, H, H), (H, T, T), (T, H, T), (T, T, H), (T, T, T)} = 2 * 2* 2 = 8

The possible favorable outcomes = Three heads or three tailss =  {(H, H, H),(T, T, T)} = 2

Favourable  outcomes of Hanif to lose the game n(L) = 8 - 2 = 6

Step 2: Calculate the probability that Hanif will lose the game

P(H) = \frac{n(L)}{n(A)}

= \frac{6}{8}

= \frac{3}{4}