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

what is the probability of spinning pink and rolling a four? 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 a four? 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 pink

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

Step2: Calculate probability of rolling a four

A standard die has 6 sides. The probability of rolling a 4, $P(4)=\frac{1}{6}$.

Step3: Use 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. $P(pink\ and\ 4)=P(pink)\times P(4)$. $P(pink\ and\ 4)=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$