Question

Players per game 10 50 100

prizes awarded 2 6 18
A bag contains blue and yellow chips for a game at a carnival. To play, a person must select a chip from the bag. If the chip is blue, the person receives a prize. If the chip is yellow, the person does not receive a prize. The results after 10, 50, and 100 people played were recorded.

Which set of numbers from the table would give the best estimate of the probability of receiving a prize?





a
10 people and 2 prizes awarded
b
50 people and 6 prizes awarded
c
100 people and 18 prizes awarded
d
we cannot estimate the probability of receiving a prize

Answer 1

The best estimate of the probability of receiving a prize would be the ratio of the number of prizes awarded to the total number of people who played the game.

a) For 10 people, 2 prizes were awarded, so the estimate of the probability of receiving a prize is 2/10 or 0.2 (20%).

b) For 50 people, 6 prizes were awarded, so the estimate of the probability of receiving a prize is 6/50 or 0.12 (12%).

c) For 100 people, 18 prizes were awarded, so the estimate of the probability of receiving a prize is 18/100 or 0.18 (18%).

Therefore, the best estimate of the probability of receiving a prize would be c) 100 people and 18 prizes awarded, which gives an estimate of 0.18 or 18%.