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

what is the probability of picking a purple marble and rolling a one? 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 one? 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 5 marbles in total and 1 purple marble. So the probability of picking a purple marble $P(purple)=\frac{1}{5}$.

Step2: Calculate probability of rolling a 1

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

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 the product of their individual probabilities. $P = P(purple)\times P(1)=\frac{1}{5}\times\frac{1}{6}=\frac{1}{30}$.

Answer:

$\frac{1}{30}$