Question

a single die is rolled twice. find the probability of rolling a 6 the first time and a 5 the second time.

find the probability of rolling a 6 the first time and a 5 the second time.
(type an integer or a simplified fraction.)

Explanation:

Step1: Probability of rolling a 6 first

A die has 6 faces, so $P(6) = \frac{1}{6}$.

Step2: Probability of rolling a 5 second

Rolls are independent, so $P(5) = \frac{1}{6}$.

Step3: Multiply probabilities for both events

$P(6 \text{ then } 5) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$.

Answer:

$\frac{1}{36}$