what is the probability of rolling a four on the first die and a four on the second die? write your answer…

what is the probability of rolling a four on the first die and a four 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 a four on the first die and a four 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:

$\frac{1}{36}$

Explanation:

Step1: Probability of rolling 4 on first die

A die has 6 faces. The probability of rolling a 4 on the first die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 4) out of 6 possible outcomes.

Step2: Probability of rolling 4 on second die

Similarly, the probability of rolling a 4 on the second die is also $\frac{1}{6}$.

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, $\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.