You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game? $8.75
$12.50
$80
$10.25

The expected value of the game is $8.75.

----------------------

The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.The probability of spinning a 2 and a vowel is: .Thus, probability of getting $50.The probability of spinning 2 and a consonant is: Thus, probability of getting $25.The probability of spinning 1 and a vowel is: .Thus, probability of getting $5.32 - (6 + 6 + 2) = 18, thus, probability of earning $0.

The expected value is:

The expected value of this game is of $8.75.

A similar problem is given at