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

what is the probability of spinning blue 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 blue 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 blue

Assume the spinner is divided into 8 equal - sized sections and 6 are blue. So the probability of spinning blue, $P(B)=\frac{6}{8}=\frac{3}{4}$.

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 the spinner - spin and coin - flip are independent events, the probability of both events occurring is $P = P(B)\times P(H)$. $P=\frac{3}{4}\times\frac{1}{2}=\frac{3\times1}{4\times2}=\frac{3}{8}$.

Answer:

$\frac{3}{8}$