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

what is the probability of spinning yellow and rolling a four? 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 rolling a four? 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 yellow

The spinner has 8 equal - sized sections and 3 are yellow. So the probability of spinning yellow, $P(Y)=\frac{3}{8}$.

Step2: Calculate probability of rolling a four

A standard die has 6 sides. The probability of rolling a 4, $P(4)=\frac{1}{6}$.

Step3: Use multiplication rule for independent events

Since spinning the spinner and rolling the die are independent events, the probability of both events occurring is $P = P(Y)\times P(4)$. So $P=\frac{3}{8}\times\frac{1}{6}=\frac{3}{48}=\frac{1}{16}$.

Answer:

$\frac{1}{16}$