Question

Module 10 Test

12) A spinner with 8 equal-size sections labeled as shown is spun 200 times. How many times
would you expect to spin a consonant? Explain your reasoning.

Answer 1

Answer: The expected number of spins of a consonant is 125.

Step-by-step explanation: The probability of spinning a consonant is 5/8. So out of 200 spins, we would expect to get a consonant 5/8 * 200 = 125 times.

Answer 2

Answer:

150 times out of 200 spins.

Explanation:

To find the expected number of times a consonant is spun, we need to first count the number of consonants on the spinner. From the image, we can see that there are 6 consonants on the spinner: B, C, D, F, G, and H.

Since all 8 sections of the spinner are equally likely to be spun, the probability of spinning a consonant is 6/8 or 3/4. This means that out of 200 spins, we would expect to spin a consonant 3/4 of the time.

To find the expected number of times a consonant is spun, we can multiply the probability of spinning a consonant by the total number of spins:

Expected number of times a consonant is spun = probability of spinning a consonant x total number of spins
Expected number of times a consonant is spun = (3/4) x 200
Expected number of times a consonant is spun = 150

Therefore, we would expect to spin a consonant 150 times out of 200 spins.