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

what is the probability of picking a pink 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 pink 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

Explanation:

Step1: Calculate probability of picking pink marble

There are 4 green marbles and 2 pink marbles, so total marbles = 4 + 2=6. Probability of picking a pink marble $P(pink)=\frac{2}{6}=\frac{1}{3}$.

Step2: Calculate probability of rolling a two

A standard die has 6 faces. Probability of rolling a 2, $P(2)=\frac{1}{6}$.

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 $P = P(pink)\times P(2)$. $P=\frac{1}{3}\times\frac{1}{6}=\frac{1\times1}{3\times6}=\frac{1}{18}$.

Answer:

$\frac{1}{18}$