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

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

Answer

Answer:

$\frac{1}{12}$

Explanation:

Step1: Find probability of spinning blue

The spinner has 4 blue - colored sections out of 8 total sections. So the probability of spinning blue, $P(\text{blue})=\frac{4}{8}=\frac{1}{2}$.

Step2: Find probability of rolling a five

A standard die has 6 faces. The probability of rolling a 5 on a die, $P(5)=\frac{1}{6}$.

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 $P = P(\text{blue})\times P(5)=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.