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: Calculate probability of spinning A on first spinner

The first spinner is divided into 3 equal - sized sections. The probability of spinning A, denoted as $P(A)$, is $\frac{1}{3}$ since there is 1 section labeled A out of 3 total sections.

Step2: Calculate probability of spinning a number greater than 3 on second spinner

The second spinner is divided into 4 equal - sized sections. The numbers greater than 3 on the second spinner is 4, so there is 1 section with a number greater than 3 out of 4 total sections. The probability of spinning a number greater than 3, denoted as $P(\text{>3})$, is $\frac{1}{4}$.

Step3: Use the multiplication rule for independent events

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

Answer:

$\frac{1}{12}$