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

what is the probability of rolling a one 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 one 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 1 on first die

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

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 $P(\text{1 on first and 4 on second})=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.