Question

you spin both spinners. what is the probability of spinning a on the first spinner and a number greater than 3 on the second spinner? write your answer as a fraction.

Explanation:

Step1: Probability of spinning A

The first spinner has 3 equal - sized sections (A, B, C). The probability of spinning A, $P(A)=\frac{1}{3}$ since there is 1 favorable outcome (A) out of 3 total outcomes.

Step2: Probability of number > 3

The second spinner has 4 sections with numbers 1, 2, 3, 4. The numbers greater than 3 is just 4. So the number of favorable outcomes is 1 and total outcomes is 4. Thus, the probability of getting a number greater than 3, $P(\text{number}>3)=\frac{1}{4}$.

Step3: Probability of both events

Since the two spins are independent events, the probability of both events happening (spinning A and a number greater than 3) is the product of their individual probabilities. So $P = P(A)\times P(\text{number}>3)=\frac{1}{3}\times\frac{1}{4}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$