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

what is the probability of spinning green 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 green 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

Explanation:

Step1: Find probability of spinning green

Assume the spinner is divided into 8 equal - sized sections and 7 are green. So the probability of spinning green, $P(G)=\frac{7}{8}$.

Step2: Find probability of rolling a five

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

Step3: Use multiplication rule for independent events

Since the spinner and die - roll are independent events, the probability of both events occurring is $P = P(G)\times P(5)$. So $P=\frac{7}{8}\times\frac{1}{6}=\frac{7}{48}$.

Answer:

$\frac{7}{48}$