what is the probability of rolling an even number on the first die and a one on the second die? write your…

what is the probability of rolling an even number on the first die and a one on the second die? 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 rolling an even number on the first die and a one on the second die? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Explanation:

Step1: Find probability of rolling even on first die

A die has 6 sides. Even numbers are 2, 4, 6. So probability $P_1=\frac{3}{6}=\frac{1}{2}$.

Step2: Find probability of rolling 1 on second die

There is 1 side with 1 on a 6 - sided die. So probability $P_2 = \frac{1}{6}$.

Step3: Use multiplication rule for independent events

Since the rolls are independent, the combined probability $P = P_1\times P_2$. $P=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$