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

what is the probability of picking a blue marble and rolling a five? 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 five? 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 marble - picking probability

There are 5 marbles in total and 1 blue marble. So the probability of picking a blue marble $P(B)=\frac{1}{5}$.

Step2: Calculate dice - rolling probability

A standard die has 6 faces. The probability of rolling a 5 is $P(5)=\frac{1}{6}$.

Step3: Calculate combined probability

Since the two events are independent, the probability of both events occurring is the product of their individual probabilities. So $P = P(B)\times P(5)=\frac{1}{5}\times\frac{1}{6}=\frac{1}{30}$.

Answer:

$\frac{1}{30}$