Question

A certain game consists of rolling a single fair die and pays off as follows: $10 for a 6, $7 for a 5, $6for a 4, and no payoff otherwise,

Find the expected winnings for this game.

The expected winnings for this game are

(Round to the nearest hundredth.)

1

m

21

m

se

?

Enter your answer in the answer box.

Answer 1

The payoff by its probability and adding the results.

The probability of rolling a 6 is 1/6, the probability of rolling a 5 is 1/6, the probability of rolling a 4 is 1/6, and the probability of rolling any other number is 3/6 (since there are three other numbers on a die).

So, the expected winnings can be calculated as:

(10)(1/6) + (7)(1/6) + (6)(1/6) + (0)(3/6) = 1.67 + 1.17 + 1 + 0 = 3.84

Therefore, the expected winnings for this game are $3.84.tep explanation: