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

what is the probability of spinning blue 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 blue 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 blue

Assume the spinner is divided into 4 equal - sized sections and 1 is blue. So the probability of spinning blue, $P(B)=\frac{1}{4}$.

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 $P = P(B)\times P(E)$. $P=\frac{1}{4}\times\frac{1}{2}=\frac{1\times1}{4\times2}=\frac{1}{8}$

Answer:

$\frac{1}{8}$