Question

what is the probability of spinning the same number in both spins?
1/9
1/6
1/3
1/2

Explanation:

Step1: Count total outcomes

The list shows there are 9 total possible outcomes: (2,1), (2,2), (2,3), (3,1), (3,2), (3,3), (1,1), (1,2), (1,3) (assuming the missing first - number 1 has its combinations too as per the pattern).

Step2: Count favorable outcomes

The favorable outcomes (spinning the same number in both spins) are (2,2) and (3,3) and (1,1) (if we assume the full set with 1), so there are 3 favorable outcomes.

Step3: Calculate probability

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{3}{9}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$