Question

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

Explanation:

Step1: Calculate probability of spinning D on first spinner

The first spinner is divided into 4 equal - parts. The probability of spinning D is $\frac{1}{4}$ since there is 1 D out of 4 sections.

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

The second spinner has 3 sections with numbers 1, 2, 3. The even number is 2, so the probability of spinning an even number is $\frac{1}{3}$ since there is 1 even - numbered section out of 3.

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 $P(D\text{ and even})=\frac{1}{4}\times\frac{1}{3}$.
$P(D\text{ and even})=\frac{1\times1}{4\times3}=\frac{1}{12}$

Answer:

$\frac{1}{12}$