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

what is the probability of spinning green and flipping tails? 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 tails? 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 has 8 equal - sized sections and 3 are green. So the probability of spinning green, $P(G)=\frac{3}{8}$.

Step2: Find probability of flipping tails

A coin has 2 sides, and the probability of flipping tails, $P(T)=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since the spinner spin and coin - flip are independent events, the probability of both events occurring is $P(G\cap T)=P(G)\times P(T)$. $P(G\cap T)=\frac{3}{8}\times\frac{1}{2}=\frac{3\times1}{8\times2}=\frac{3}{16}$

Answer:

$\frac{3}{16}$