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

what is the probability of spinning green 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 green 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

Answer:

$\frac{1}{30}$

Explanation:

Step1: Find probability of spinning green

Assume spinner is divided into 5 equal - sized sections. Probability of spinning green $P(G)=\frac{1}{5}$.

Step2: Find probability of rolling a 3

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

Step3: Use multiplication rule for independent events

Since spinning and rolling are independent events, $P(G\cap3)=P(G)\times P(3)=\frac{1}{5}\times\frac{1}{6}=\frac{1}{30}$.