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One of the wagers in the game of roulette is to place a bet that the ball will land on a black number. (Eighteen of the numbers are black, 18 are red, and two are green.) If the ball lands on a black number, the player wins the amount of his bet. If a player bets $7, find the player's expectation.

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Respuesta :

Answer:

Step-by-step explanation:

Given that one of the wagers in the game of roulette is to place a bet that the ball will land on a black number.

Probability will be 18/38 for black and red and 2/38 for green

We have

Colour    Black    Red     Green    Total

Number      18       18          2             38

Bet amt.       7         7          7

Win amt.      7          0         0          

Net win        0        -7       -7

Prob            18/38   18/38  2/38

Netwin*p      0         -126/38  -14/38

Expected value of win = -140/38 = -3.68

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