what is the probability of spinning yellow and rolling an even number? write your answer as a fraction or a…

what is the probability of spinning yellow and rolling an even number? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

what is the probability of spinning yellow and rolling an even number? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Explanation:

Step1: Find probability of spinning yellow

Assume the spinner is divided into 6 equal - sized sections and 2 are yellow. So the probability of spinning yellow, $P(Y)=\frac{2}{6}=\frac{1}{3}$.

Step2: Find probability of rolling an even number

A standard die has 6 sides, and the even - numbered sides are 2, 4, 6. So the probability of rolling an even number, $P(E)=\frac{3}{6}=\frac{1}{2}$.

Step3: Use the multiplication rule for independent events

Since spinning the spinner and rolling the die are independent events, the probability of both events occurring is $P = P(Y)\times P(E)$. $P=\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$