SOLUTION: Three different gaming machines are in a line along a wall. The machines guarantee the following outputs with listed probabilities: Machine A: P(1)=1/7 ; P(3)=3/7 ; P(7)=3/7 Ma

Question 454594: Three different gaming machines are in a line along a wall. The machines guarantee the following outputs with listed probabilities:
Machine A: P(1)=1/7 ; P(3)=3/7 ; P(7)=3/7
Machine B: P(4)=1
Machine C: P(3)=5/9 ; P(6)=4/9
Suppose that you want to select the game giving the highest average output over a long period of time. Which machine would you select? Why?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Expectation=n*p
A:
1/7 * 1 = 1/7
3 * 3/7 = 9/7
7 * 3/7 = 21/7
.
31/7 expectation = 4 3/7
.
B:
4*1=4 expectation
.
C:
3 * 5/9 = 15/9
6 * 4/9 = 24/9
.
39/9 expectation = 4 3/9
.
Select A because it has the highest expectation.
.
Ed

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