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

Answer:

$\frac{1}{6}$

Explanation:

Step1: Calculate probability of spinning C

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

Step2: Calculate probability of spinning an even number

The second spinner is divided into 2 equal - parts, with numbers 1 and 2. The even number is 2, so the probability of spinning an even number, denoted as $P(\text{even})$, is $\frac{1}{2}$ since there is 1 even - numbered part out of 2 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 $P(C\text{ and even})=P(C)\times P(\text{even})=\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$.