Question

Suppose the dial on the spinner is spun 2 times in a row.

X is the number of times the dial lands on region A or B.

Which table represents the probability distribution for the variable X?

Answer 1

Answer: C

X P

0 1/9

1 4/9

2 4/9

Explanation:

Screenshot provided

Answer 2

Explanation:

A, B, and C have the same area. So P(A) = 1/3 and P(B) = 1/3, which means P(A or B) = 2/3.

P(success) = 2/3 and P(failure) = 1/3.

The probability of 2 failures is:

P = (1/3)² = 1/9

The probability of 2 successes is:

P = (2/3)²= 4/9

The probability of 1 success and 1 failure can be found either with binomial probability, or simply by subtracting the probabilities we found earlier from 1.

P = 1 - 1/9 - 4/9

P = 4/9

So the answer is the one in the bottom left corner.