what is the probability of spinning pink and rolling an odd number? write your answer as a fraction or a…

what is the probability of spinning pink and rolling an odd number? 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 pink and rolling an odd number? 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 pink

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

Step2: Find probability of rolling an odd number

A standard die has 6 sides, and the odd - numbered sides are 1, 3, 5. So the probability of rolling an odd number, $P(odd)=\frac{3}{6}=\frac{1}{2}$.

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 the product of their individual probabilities. $P(pink\ and\ odd)=P(pink)\times P(odd)$. $P(pink\ and\ odd)=\frac{1}{4}\times\frac{1}{2}=\frac{1\times1}{4\times2}=\frac{1}{8}$.

Answer:

1/8