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

you spin both spinners. what is the probability of spinning c on the first spinner and an number greater than 1 on the second spinner? write your answer as a fraction.

you spin both spinners. what is the probability of spinning c on the first spinner and an number greater than 1 on the second spinner? write your answer as a fraction.

Answer

Explanation:

Step1: Calculate probability of spinning C on first spinner

The first spinner is divided into 3 equal - sized sections. The probability of spinning C is $\frac{1}{3}$ since there is 1 section labeled C out of 3 total sections.

Step2: Calculate probability of spinning a number greater than 1 on second spinner

The second spinner is divided into 4 equal - sized sections. The numbers greater than 1 are 2, 3, 4, 5. There are 3 numbers greater than 1 out of 4 total numbers. So the probability is $\frac{3}{4}$.

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 $P = \frac{1}{3}\times\frac{3}{4}$. $P=\frac{1\times3}{3\times4}=\frac{3}{12}=\frac{1}{4}$

Answer:

$\frac{1}{4}$