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

what is the probability of picking a blue marble and rolling a three? 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 three? 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 2 blue marbles and 10 marbles in total. So the probability of picking a blue marble $P(B)=\frac{2}{10}=\frac{1}{5}$.

Step2: Calculate probability of rolling a 3

A standard die has 6 faces. The probability of rolling a 3 on a die $P(3)=\frac{1}{6}$.

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 $P = P(B)\times P(3)$. So $P=\frac{1}{5}\times\frac{1}{6}=\frac{1}{30}$.

Answer:

$\frac{1}{30}$