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

what is the probability of picking a blue 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 blue 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 blue marble

There are 5 blue marbles and 10 total marbles. Probability of picking blue marble $P(B)=\frac{5}{10}=\frac{1}{2}$.

Step2: Calculate probability of rolling a six

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

Step3: Calculate joint - probability

Since the two events are independent, joint - probability $P = P(B)\times P(S)$. So $P=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$