A bag has 8 red tiles and 2 green tiles. In a charity carnival game, you pay $5 to randomly pull a tile from the bag. The payout for pulling a red tile is $1 and the payout for pulling a green tile is $10. Which of the followig are true or false.

a. The expected payoff per game for the charity is $2.20.

b. In 20 games, the charity can expect to make $44.

c. In 30 games, the charity can expect to make $120.

d. In 5 games, the player can expect to lose $11.

Question

Kaylin Ryan

Mathematics

20 May, 04:26

A bag has 8 red tiles and 2 green tiles. In a charity carnival game, you pay $5 to randomly pull a tile from the bag. The payout for pulling a red tile is $1 and the payout for pulling a green tile is $10. Which of the followig are true or false.

a. The expected payoff per game for the charity is $2.20.

b. In 20 games, the charity can expect to make $44.

c. In 30 games, the charity can expect to make $120.

d. In 5 games, the player can expect to lose $11.

+3

Answers (2)

Know the Answer?

Gina Santos · Answer 1

should be D.

Clarissa Holmes · Answer 2

B:True

Step-by-step explanation:

B is true as a bag of 8 red tiles and 2 green tiles you pay 5 per tile meaning in twenty games you pay $100 (50 per bag) and the total amount you win back is $56 (28 per bag) so the equation would be $100 - $56 = $44 profit to the charity