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

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

Assume the spinner is divided into 4 equal - sized sections. If 1 section is yellow, the probability of spinning yellow, $P(Y)=\frac{1}{4}$.

Step2: Find probability of rolling a three

A standard die has 6 faces. The probability of rolling a three, $P(3)=\frac{1}{6}$.

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 $P = P(Y)\times P(3)$. $P=\frac{1}{4}\times\frac{1}{6}=\frac{1\times1}{4\times6}=\frac{1}{24}$

Answer:

$\frac{1}{24}$