Question

you roll a 6 - sided die two times. what is the probability of rolling a 6 and then rolling a 1? simplify your answer and write it as a fraction or whole number.

Explanation:

Step1: Find probability of rolling a 6

The probability of rolling a 6 on a 6 - sided die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 6) out of 6 possible outcomes.

Step2: Find probability of rolling a 1

The probability of rolling a 1 on a 6 - sided die is $\frac{1}{6}$ as there is 1 favorable outcome (rolling a 1) out of 6 possible outcomes.

Step3: Use multiplication rule for independent events

Since the two die - rolls are independent events, the probability of rolling a 6 and then a 1 is the product of their individual probabilities. So $P = \frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.

Answer:

$\frac{1}{36}$