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

what is the probability of spinning blue and rolling a one? 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 rolling a one? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Explanation:

Step1: Assume the spinner has 8 equal - sized sections and 2 are blue

The probability of spinning blue, $P(\text{blue})=\frac{2}{8}=\frac{1}{4}$.

Step2: Assume the die is a standard six - sided die

The probability of rolling a 1, $P(1)=\frac{1}{6}$.

Step3: Use the multiplication rule for independent events

Since spinning the spinner and rolling the die are independent events, the probability of both events occurring is $P = P(\text{blue})\times P(1)$. $P=\frac{1}{4}\times\frac{1}{6}=\frac{1\times1}{4\times6}=\frac{1}{24}$.

Answer:

$\frac{1}{24}$