Question

A carnival game allows a group of players to each draw and keep a marble from a bag. The bag contains 5 gold marbles, 25 silver marbles, and 70 red marbles. A player wins a large prize for drawing a gold marble and a small prize for drawing a silver marble. There is no prize for drawing a red marble. At the start of the game, the probability of winning a large prize is 0.05 and the probability of winning a small prize is 0.25. Suppose that the first player draws a silver marble and wins a small prize. What is the probability that the second player will also win a small prize? If a group of four plays the game one at a time and everyone wins a small prize, which player had the greatest probability of winning a large prize? How could the game be made fair for each player? That is, how could you change the game so that each player has an equal chance of winning a prize?

Answer 1

The probability is lower for the second player to win a prize. The first player has a bigger probability of winning a large prize. To make the game fair for each player, each player would have to choose a marble from the bag at the same time.

Answer 2

1. 25% too because it wont change if they have the same amount of marbles.

2. 5% since there is very little gold marbles.

3. Take out 55 red marbles so it could be fair or just take out red marbles in general. That would be fair.

Hope I helped. Have a great day