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

what is the probability of picking a green marble 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 picking a green marble 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

Answer:

$\frac{1}{8}$

Explanation:

Step1: Calculate probability of picking green marble

There are 3 green marbles and 6 marbles in total. Probability $P(green)=\frac{3}{6}=\frac{1}{2}$.

Step2: Calculate probability of rolling a 4

A standard die has 6 sides. Probability $P(4)=\frac{1}{6}$.

Step3: Use multiplication rule for independent - events

Since picking a marble and rolling a die are independent events, $P(green\ and\ 4)=P(green)\times P(4)=\frac{1}{2}\times\frac{1}{4}=\frac{1}{8}$.