what is the probability of picking a green marble and rolling a six? write your answer as a fraction or a…

what is the probability of picking a green marble and rolling a six? 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 a six? 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 9 non - green marbles, so total marbles are 3 + 9=12. Probability of picking a green marble $P(G)=\frac{3}{12}=\frac{1}{4}$.

Step2: Calculate probability of rolling a six

A standard die has 6 faces. Probability of rolling a six $P(6)=\frac{1}{6}$.

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 $P = P(G)\times P(6)$. So $P=\frac{1}{4}\times\frac{1}{6}=\frac{1}{24}$.

Answer:

$\frac{1}{24}$