what is the probability of rolling a three on the first die and an even number on the second die? write your…
what is the probability of rolling a three on the first die and an even number 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
Answer:
1/12
Explanation:
Step1: Probability of rolling a 3 on first die
A die has 6 faces. The probability of rolling a 3 on the first die is $P_1=\frac{1}{6}$.
Step2: Probability of rolling an even on second die
The even - numbered outcomes on a die are 2, 4, 6. So the probability of rolling an even number on the second die is $P_2=\frac{3}{6}=\frac{1}{2}$.
Step3: Use multiplication rule for independent events
Since the rolls of the two dice are independent events, the probability of both events occurring is $P = P_1\times P_2=\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}$.