The one coin payoffs for the slot machine shown in Problem 37 are as follows:

What is the mathematical expectation for playing the game with the coin being a dollar? Assume the three wheels are independent.

Data from Problem 37

A certain slot machine has three identical independent wheels, each with 13 symbols as follows: 1 bar, 2 lemons, 2 bells, 3 plums, 2 cherries, and 3 oranges. Suppose you spin the wheels and one of the 13 symbols on each wheel is selected. Find the probabilities and leave your answers in decimal form.

a. \(P(3\) (bars)

b. \(P(3\) (oranges)

c. \(P\) (3 plums)

d. \(P\) (cherry on the first wheel)

e. \(P\) (cherries on the first 2 wheels)

Transcribed Image Text:

First one cherry First two cherries First two wheels are cherries and the third wheel is a bar Three cherries Three oranges Three plums Three bells Three bars (jackpot) 2 coins 5 coins 10 coins 10 coins 14 coins 14 coins 20 coins 50 coins