what is the probability of spinning pink and rolling a three? write your answer as a fraction or a whole…

what is the probability of spinning pink and rolling a three? 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 a three? 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 has 8 equal - sized sections and 2 are pink. The probability of spinning pink, $P(pink)=\frac{2}{8}=\frac{1}{4}$.

Step2: Find probability of rolling a three

A standard die has 6 sides. The probability of rolling a three, $P(3)=\frac{1}{6}$.

Step3: Use multiplication rule for independent events

Since spinning the spinner and rolling the die are independent events, the probability of both events occurring is $P(pink\ and\ 3)=P(pink)\times P(3)$. $P(pink\ and\ 3)=\frac{1}{4}\times\frac{1}{6}=\frac{1\times1}{4\times6}=\frac{1}{24}$.

Answer:

$\frac{1}{24}$