In a game, 3 coins are tossed. A person is paid ₹ 100 , if he gets all heads or all tails; and he is supposed to pay ₹ 40 , if he gets one head or two heads. The amount he can expect to win/lose on an average per game in ( ₹ ) is

Step-by-step solution

In a game, 3 coins are tossed. P ( getting all heads or all tails )= 2 8 = 1 4 P ( getting one head or two heads )= 6 8 = 3 4 Let x : number of rupees the person gets. aligned & P(X=100)= 1 4 & P(X=-40)= 3 4 aligned The amount he can expect to win = mean aligned & = n _ i p _ i & =100 1 4 +(-40) 3 4 & = 100 4 - 120 4 & =-5 & =5 loss aligned