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

what is the probability of spinning green and flipping heads? 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 flipping heads? 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 6 equal - sized sections and 1 is green. The probability of spinning green, $P(G)=\frac{1}{6}$.

Step2: Find probability of flipping heads

The probability of flipping a head on a fair coin is $P(H)=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since spinning the spinner and flipping the coin are independent events, the probability of both events occurring is $P(G\cap H)=P(G)\times P(H)$. So $P(G\cap H)=\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$