You draw one card from a standard deck of playing cards. If you pick a club, you will win $10. If you pick a face card, which is not a club, you win $6. If you pick any other card, you lose $5.
Question 1
What is the expected value for the game? (to the nearest cent)
Responses
A −$0.15
B −$0.25
C $0.45
D $0.65

Question

You draw one card from a standard deck of playing cards. If you pick a club, you will win $10. If you pick a face card, which is not a club, you win $6. If you pick any other card, you lose $5.
Question 1
What is the expected value for the game? (to the nearest cent)
Responses
A	−$0.15
B	−$0.25
C	$0.45
D	$0.65

Vocaloid · Answer

For each outcome, multiply the probability of the event * its monetary value.

So starting with: “if you pick a club you will win 10”. The probability of getting a club in a standard deck of cards is (1/4). Multiply that by 10 to get (1/4)*10.

Repeat this process for all the outcomes.

Sum all the products to get the expected value.