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

Answer:

$\frac{1}{36}$

Explanation:

Step1: Probability of first - die result

The probability of rolling a 2 on the first die. A die has 6 faces, so the probability $P_1=\frac{1}{6}$.

Step2: Probability of second - die result

The probability of rolling a 3 on the second die. Since a die has 6 faces, the probability $P_2 = \frac{1}{6}$.

Step3: Combined probability

Since the two die - rolls are independent events, the combined probability $P = P_1\times P_2=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.