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

what is the probability of picking a purple 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 purple 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 purple marble

There are 7 orange marbles and 1 purple marble, so total marbles = 7 + 1=8. Probability of picking purple marble $P(purple)=\frac{1}{8}$.

Step2: Calculate probability of rolling a six

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

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 $P = P(purple)\times P(6)$. So $P=\frac{1}{8}\times\frac{1}{6}=\frac{1}{48}$.

Answer:

$\frac{1}{48}$