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

what is the probability of picking a purple marble and rolling a two? 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 two? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Answer:

$\frac{1}{21}$

Explanation:

Step1: Calculate marble - picking probability

There are 2 purple marbles and 9 total marbles. So the probability of picking a purple marble $P(purple)=\frac{2}{9}$.

Step2: Calculate die - rolling probability

A standard die has 6 sides. The probability of rolling a 2 is $P(2)=\frac{1}{6}$.

Step3: Calculate combined probability

Since the two events are independent, we use the formula $P(A\cap B)=P(A)\times P(B)$. So $P(purple\ and\ 2)=\frac{2}{9}\times\frac{1}{6}=\frac{2}{54}=\frac{1}{21}$.