47-50 Expected Value These exercises involve expected value.
Rolling Dice Two dice are rolled. John gets if they show the same number; he pays if they show different numbers. What is the expected value of this game?
The expected value of the game.
The expected value is given as,
Here, is the amount of winning, is the amount to be paid and is the probability of payout.
John wins if two dice are rolled and shows the same number, and he loses otherwise.
The probability of the two dice rolled together and shows the same number is and the probability of the two dice shows two different number is .
Calculate the expected value of the game
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