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

what is the probability of spinning pink 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 pink 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 pink

Assume the spinner is divided into 8 equal - sized sections and 1 is pink. So the probability of spinning pink, $P(pink)=\frac{1}{8}$.

Step2: Find probability of rolling an even number

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

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 $P = P(pink)\times P(even)$. $P=\frac{1}{8}\times\frac{1}{2}=\frac{1\times1}{8\times2}=\frac{1}{16}$

Answer:

$\frac{1}{16}$