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

what is the probability of spinning blue 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 blue 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: Calculate probability of spinning blue

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

Step2: Calculate probability of flipping tails

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

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 $P = P(B)\times P(T)$. So $P=\frac{3}{8}\times\frac{1}{2}=\frac{3}{16}$.

Answer:

$\frac{3}{16}$