In A Game, A Person Is Paid Rs. 5 If He Gets All Heats Or All Tails When Three Coin Are Tossed, And He Will Pay Rs. 3 If Either One Or Two Heads Shown. What Can Be Expect To Win On The Average Per Game?

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Question

In a game, a person is paid Rs. 5 if he gets all heats or all tails when three coin are tossed, and he will pay Rs. 3 if either one or two heads shown. What can be expect to win on the average per game?

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Solution

Correct option is

- 1

Let X be the amount received by the person. Then, X can take values 5 and 3 such that P(X = 5) = probability of getting all heads of all tails when three coins are tossed.

P(X = – 3) = probability or getting one or two heads

∴ Expected amount to win, on the average, per game

Thus, the person will on the average, lose Re 1 per toss of the coins.

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