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

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

Answer:

$\frac{5}{66}$

Explanation:

Step1: Count marbles

There are 11 marbles in total and 5 green marbles. So the probability of picking a green marble, $P(G)=\frac{5}{11}$.

Step2: Probability of rolling a 2

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

Step3: Use multiplication rule

Since the two events are independent, the probability of both events occurring is $P = P(G)\times P(2)=\frac{5}{11}\times\frac{1}{6}=\frac{5}{66}$.