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

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

Answer

Explanation:

Step1: Calculate probability of spinning blue

The spinner has 8 equal - sized sections and 5 are blue. So the probability of spinning blue, $P(\text{blue})=\frac{5}{8}$.

Step2: Calculate probability of rolling a four

A standard die has 6 sides. The probability of rolling a 4, $P(4)=\frac{1}{6}$.

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 $P = P(\text{blue})\times P(4)$. So $P=\frac{5}{8}\times\frac{1}{6}=\frac{5\times1}{8\times6}=\frac{5}{48}$.

Answer:

$\frac{5}{48}$