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

what is the probability of spinning green 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 green 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: Find probability of spinning green

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

Step2: Find probability of rolling a four

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

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 $P = P(G)\times P(4)$. Substitute the values: $P=\frac{1}{5}\times\frac{1}{6}=\frac{1\times1}{5\times6}=\frac{1}{30}$.

Answer:

$\frac{1}{30}$