3.7k views
1 vote
Mark, Evan, and Cayla are playing a game. There are 3 blue marbles, 2 red, and 1 green marble. If Mark pulls a blue marble he gets $1. If Evan pulls a red marble, he gets a $2. If Cayla pulls a green marble, she gets $3. Is this a fair game? If not, who has the advantage?

A) It is a fair game.

B) It is not a fair game. Mark has the advantage.

C) It is not a fair game. Evan has the advantage.

D) It is not a fair game. Cayla has the advantage.

2 Answers

3 votes

Answer:

I think the answer is b

Explanation:

Because Mark has a better probability of getting at least something

User SmallGrammer
by
7.7k points
5 votes

Answer:

C) It is not a fair game. Evan has the advantage.

Explanation:

Mark's expected value is 3/6×$1 = $0.50.

Evan's expected value is 2/6×$2 = $0.67.

Cayla's expected value is 1/6×$3 = $0.50.

_____

Evan's expected value exceeds that of the other players. It is not fair.

User Sonny Parlin
by
8.9k points
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