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

what is the probability of picking a green 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 green 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 green marble

There are 3 green marbles and a total of 7 marbles. So the probability of picking a green marble $P(G)=\frac{3}{7}$.

Step2: Calculate probability of rolling an even - number

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

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 $P = P(G)\times P(E)$. $P=\frac{3}{7}\times\frac{1}{2}=\frac{3}{14}$

Answer:

$\frac{3}{14}$