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

what is the probability of spinning green and rolling a six? 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 six? 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

The spinner is divided into 4 equal - sized sections and 2 are green. So the probability of spinning green, $P(G)=\frac{2}{4}=\frac{1}{2}$.

Step2: Find probability of rolling a six

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

Step3: Use the multiplication rule for independent events

Since spinning the spinner and rolling the die are independent events, the probability of both events occurring is $P = P(G)\times P(6)$. Substitute the values: $P=\frac{1}{2}\times\frac{1}{6}=\frac{1\times1}{2\times6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$