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

what is the probability of spinning pink and rolling a two? 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 two? 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 8 equal - sized sections and 2 are pink. So the probability of spinning pink, $P(pink)=\frac{2}{8}=\frac{1}{4}$.

Step2: Calculate probability of rolling a 2

A standard die has 6 sides. The probability of rolling a 2, $P(2)=\frac{1}{6}$.

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 the product of their individual probabilities. So $P(pink\ and\ 2)=P(pink)\times P(2)=\frac{1}{4}\times\frac{1}{6}=\frac{1}{24}$.

Answer:

$\frac{1}{24}$