what is the probability of picking a pink marble and rolling an even number? write your answer as a fraction…

what is the probability of picking a pink marble and rolling an even 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 picking a pink marble and rolling an even 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: Calculate probability of picking pink marble

There are 5 pink marbles and 3 orange marbles, so total marbles = 5 + 3=8. Probability of picking pink marble $P(pink)=\frac{5}{8}$.

Step2: Calculate probability of rolling an even - number

A standard die has 6 sides, and the even numbers are 2, 4, 6. So probability of rolling an even number $P(even)=\frac{3}{6}=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since picking a marble and rolling a die are independent events, the probability of both events occurring is $P = P(pink)\times P(even)$. $P=\frac{5}{8}\times\frac{1}{2}=\frac{5}{16}$.

Answer:

$\frac{5}{16}$