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

what is the probability of spinning yellow 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 yellow 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 yellow

Assume spinner is divided into 4 equal - parts and 1 part is yellow. So probability of spinning yellow $P(Y)=\frac{1}{4}$.

Step2: Find probability of rolling an odd number

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

Step3: Use multiplication rule for independent events

Since spinning and rolling are independent events, the probability of both events occurring is $P = P(Y)\times P(O)$. $P=\frac{1}{4}\times\frac{1}{2}=\frac{1\times1}{4\times2}=\frac{1}{8}$

Answer:

$\frac{1}{8}$