Question 8 asks: If the spinner shown is spun 250 times, about how many times will a number less than 7 be expected? The spinner has 10 equally likely sections numbered 1 to 10.

1. Problem Description

Question 8 asks: If the spinner shown is spun 250 times, about how many times will a number less than 7 be expected? The spinner has 10 equally likely sections numbered 1 to

1

0.

2. Solution Steps

The spinner has 10 sections, numbered 1 through

1

0. We want to find the probability of landing on a number less than

7. The numbers less than 7 are 1, 2, 3, 4, 5, and

6. Thus, there are 6 favorable outcomes.

The probability of landing on a number less than 7 in one spin is the number of favorable outcomes divided by the total number of outcomes, which is $6/10 = 3/5$.

If the spinner is spun 250 times, the expected number of times a number less than 7 will occur is the probability of landing on a number less than 7 multiplied by the number of spins:

Expected number of times = (Probability) * (Number of spins)

Expected number of times = $(3/5) * 250$

Expected number of times = $3 * 50 = 150$

3. Final Answer

150