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

what is the probability of picking a blue 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 blue 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

Explanation:

Step1: Calculate probability of picking blue marble

There are 6 marbles in total and 3 blue marbles. So the probability of picking a blue marble $P(B)=\frac{3}{6}=\frac{1}{2}$.

Step2: Calculate probability of rolling a two

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

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 $P = P(B)\times P(2)$. Substitute the values: $P=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$