In a game, you have 1/36 probability of winning $100 and a 35/36 probability of losing $2. What is your expected value?
Question
In a game, you have 1/36 probability of winning 2. What is your expected value?
Solution
The expected value is calculated by multiplying each outcome by the probability of that outcome, then summing these values.
In this case, the possible outcomes are winning 2.
The expected value from winning is: 2.78 (approximately)
The expected value from losing is: -1.94 (approximately)
Adding these together gives the total expected value: 1.94 = $0.84
So, the expected value of the game is $0.84. This means that on average, you can expect to win 84 cents each time you play this game.
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