you spin both spinners. what is the probability of spinning b on the first spinner and an even number on the…

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 two spins 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:

$\frac{1}{9}$