Ross has a spinner that is split into eight equal sections numbered 1 through He spun the spinner 1,576 times. Which of the following would be a good estimate of the number of times the spinner landed on the number 6?

Question

A. 268
B. 409
C. 176
D. 191

Answer 1

Since there are eight sections on the spinner, and each section has an equal chance of landing face-up when spun, we can estimate that the number 6 will come up approximately 1/8th of the time.

To find out how many times we can expect the spinner to land on 6 out of 1576 total spins, we can set up the following proportion:

6/8 = x/1576

Where x is the number of times we can expect the spinner to land on 6.

Simplifying the proportion:

6 * 1576 = 8 * x

9426 = x * 8

x ≈ 1178

So we can estimate that the spinner will land on the number 6 around 1178 times out of 1576 total spins.

The answer choice that is closest to this estimate is A: 268. Therefore, we can eliminate choices C and D.

Answer B is much too high and would imply that the spinner landed on 6 almost one third of the time, which is unlikely given that each section has an equal chance. Therefore, our best estimate from the answer choices is A: 268.