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

what is the probability of spinning blue 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 blue 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: Calculate probability of spinning blue

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

Step2: Calculate 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, $P(O)=\frac{3}{6}=\frac{1}{2}$.

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 $P = P(B)\times P(O)$. Substitute the values: $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$