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

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

Answer

Explanation:

Step1: Determine probability of spinning blue

Assume the spinner is divided into 6 equal - sized sections and 1 is blue. So the probability of spinning blue, $P(blue)=\frac{1}{6}$.

Step2: Determine probability of rolling a three

A standard die has 6 faces. The probability of rolling a three, $P(3)=\frac{1}{6}$.

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 $P = P(blue)\times P(3)$. $P=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$

Answer:

$\frac{1}{36}$