Question

Travis is at a carnival and has a chance to win a goldfish. He can either roll 2 or 3 on a six-sided fair die or pick either an A or B out of a hat which contains letters A, B, C, D, and E. Which game should Travis play to win a goldfish? Explain.

Answer 1

Travis should pick to play the hat game.

Explanation:

You would need to evaluate the probablity of winning in each option

Option 1 (rolling die)

p(roll 2 or 3)=2/6

p(roll 2 or 3)=1/3=.33

Option 2 (pick letters)

p(pick A or B) = 2/5

p(pick A or B) = .4

.33<.4

Since option 2 with picking letters has a higher chance of winning, then Travis should play the second game to win the goldfish as a higher chance of winning makes it easier for him to win the prize.