Question

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

Explanation:

Step1: Calculate probability of spinning B on first spinner

The first spinner is divided into 3 equal - parts. The probability of spinning B on the first spinner, $P(B_1)$, is $\frac{1}{3}$ since there is 1 part labeled B out of 3 total parts.

Step2: Calculate probability of spinning an even number on second spinner

The second spinner has 3 numbers: 1, 2, 3. The even number is 2. So the probability of spinning an even number on the second spinner, $P(E_2)$, is $\frac{1}{3}$ since there is 1 even - numbered part out of 3 total parts.

Step3: Use the multiplication rule for independent events

Since the spins of the two spinners are independent events, the probability of both events occurring is the product of their individual probabilities. So $P = P(B_1)\times P(E_2)$.
$P=\frac{1}{3}\times\frac{1}{3}=\frac{1}{9}$

Answer:

$\frac{1}{9}$