what is the probability of rolling a three on the first die and a three on the second die? write your answer…
what is the probability of rolling a three on the first die and a three 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: Probability of rolling 3 on first die
A die has 6 faces. The probability of rolling a 3 on the first die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 3) out of 6 possible outcomes.
Step2: Probability of rolling 3 on second die
The probability of rolling a 3 on the second die is also $\frac{1}{6}$ for the same reason as the first - die case.
Step3: Use multiplication rule for independent events
Since the rolls of the two dice are independent events, the probability of both events occurring is the product of their individual probabilities. So $P=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.
Answer:
$\frac{1}{36}$