Question

what is the probability of spinning green 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. save answer

Explanation:

Step1: Determine probability of spinning green

Assume the spinner is divided into 8 equal - sections and 1 is green. The probability of spinning green, $P(G)=\frac{1}{8}$.

Step2: Determine probability of rolling an odd number on a die

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

Step3: Use multiplication rule for independent events

Since the spinner - spin and die - roll are independent events, the probability of both events occurring is $P = P(G)\times P(O)$.
$P=\frac{1}{8}\times\frac{1}{2}=\frac{1\times1}{8\times2}=\frac{1}{16}$.

Answer:

$\frac{1}{16}$