Question

Elijah is going to spin a spinner 180 times.

He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?

Elijah’s prediction is exact because 180 ÷ 3 = 60.
Elijah’s prediction is exact because 180 x 1/3 = 60.
Elijah’s prediction is high because 180 x 1/4 = 45
Elijah’s prediction is low because 180 x 3/4 = 135.

Answer 1

Elijah’s prediction is high because 180 x 1/4 = 45

Explanation:

Theoretical probability is found using the ratio

(# of ways an event can occur)/(total # of possible outcomes).

For this spinner, there is 1 section labeled 3 out of 4 total sections; this is a probability of 1/4.

180(1/4) = 180/4 = 45; the spinner should land on 3 around 45 times.

This means Elijah's prediction is high.

Answer 2

Elijah's prediction is high because 180 * (1/4) = 45