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

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

Answer

Answer:

$\frac{1}{12}$

Explanation:

Step1: Calculate probability of picking pink marble

There are 4 marbles in total and 2 are pink. So the probability of picking a pink marble $P(\text{pink})=\frac{2}{4}=\frac{1}{2}$.

Step2: Calculate probability of rolling a 4

A standard die has 6 sides. The probability of rolling a 4 on a die $P(4)=\frac{1}{6}$.

Step3: Calculate combined probability

Since the two events are independent, we use the multiplication - rule for independent events $P(A\cap B)=P(A)\times P(B)$. So $P(\text{pink and }4)=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.