At this years state fair, there was a dice rolling game. If you rolled two dice and got a sum of 2 or 12, you won $20. If you rolled a 7, you won $5. Any other roll was a loss. If the cost is $3 to play one game with one roll of the dice. What is the expectation of the game?

Expectation of the gain;

E = (2×$17 + 6×$2 - 28×3)/36

E = -$1.06

Step-by-step explanation:

For 2 and 12

Number of possible outcomes = 2

Gain = 20 - 3 = $17

For 7

Number of possible outcomes = 6

Gain = 5-3 = $2

For others

Number of possible outcomes = 36-(2+6) = 28

Gain = -$3

Expectation of the gain;

E = (2×$17 + 6×$2 - 28×3)/36 = -$38/36

E = -$1.06

134.6 us dollars

step-by-step explanation:

1 us dollar = 1.33 canadian dollars

so, 150 us dollars = 150 × 1.33 = $199.5.

in canada, the money mitchell spent = 20 canadian dollars.

remaining canadian dollars with him = 199.5 - 20 = 179.5.

after mitchell returned to us, he exchanged the remaining canadian dollars to us dollars.

179.5 canadian dollars = 179.5 × 0.75 = 134.6 us dollars.