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

Explanation:

Step1: Calculate probability of spinning D on first spinner

The first spinner is divided into 4 equal - parts. The probability of spinning D on the first spinner, denoted as $P(D)$, is $\frac{1}{4}$ since there is 1 D out of 4 possible outcomes.

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

The second spinner has 3 possible outcomes: 1, 2, 3. The even number is 2. So the probability of spinning an even number on the second spinner, denoted as $P(\text{even})$, is $\frac{1}{3}$ since there is 1 even number out of 3 possible outcomes.

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 $P = P(D)\times P(\text{even})$. $P=\frac{1}{4}\times\frac{1}{3}=\frac{1}{12}$

Answer:

$\frac{1}{12}$