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

Explanation:

Step1: Find probability of spinning pink

The spinner has 8 equal - sized sections and 2 are pink. So the probability of spinning pink, $P(pink)=\frac{2}{8}=\frac{1}{4}$.

Step2: Find probability of flipping tails

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

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 $P(pink\ and\ tails)=P(pink)\times P(tails)$. $P(pink\ and\ tails)=\frac{1}{4}\times\frac{1}{2}=\frac{1\times1}{4\times2}=\frac{1}{8}$.

Answer:

$\frac{1}{8}$