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

what is the probability of spinning yellow 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 yellow 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

Answer:

$\frac{1}{12}$

Explanation:

Step1: Find probability of spinning yellow

The spinner is divided into 6 equal - sized sections and 2 are yellow. So the probability of spinning yellow, $P(Y)=\frac{2}{6}=\frac{1}{3}$.

Step2: Find probability of flipping heads

A fair coin has 2 possible outcomes (heads or tails), so the probability of flipping heads, $P(H)=\frac{1}{2}$.

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 $P = P(Y)\times P(H)=\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$.