what is the probability of picking a blue marble and rolling an even number? write your answer as a fraction…

what is the probability of picking a blue marble and rolling an even number? 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 an even number? 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 7 blue marbles and a total of 10 marbles. So the probability of picking a blue marble $P(B)=\frac{7}{10}$.

Step2: Calculate probability of rolling an even - number

A standard die has 6 sides, and 3 of them are even numbers (2, 4, 6). So the probability of rolling an even number $P(E)=\frac{3}{6}=\frac{1}{2}$.

Step3: Calculate the joint probability

Since the two events (picking a marble and rolling a die) are independent, the joint - probability $P = P(B)\times P(E)$. Substitute the values: $P=\frac{7}{10}\times\frac{1}{2}=\frac{7}{20}$.

Answer:

$\frac{7}{20}$