Probability of Getting a Vowel from a Spinner

What is the probability of getting a vowel on exactly 3 spins from a spinner with 3 sections?

A. 0.1646

B. 0.333

C. 0.5

Answer: A

The probability of getting a vowel on exactly 3 spins from a spinner with 3 sections is 0.1646.

Are you curious about the probability of getting a vowel from a spinner with 3 sections? Well, if you spin the spinner 5 times, the probability of getting a vowel on exactly 3 spins is 0.1646.

In a spinner with 3 sections (let's call them A, B, and C), where A represents a vowel, the probability of getting a vowel in one spin is 0.333.

By using the binomial probability formula, [tex]P(X=3)=\\left(^5C_3\\right)0.333^3(1-0.333)^{5-3}=0.1646[/tex], we can calculate the probability of getting a vowel on exactly 3 spins out of 5.

So, the next time you spin a similar spinner, remember that there's a 16.46% chance of landing on a vowel exactly 3 times out of 5 spins. Exciting, isn't it?