Question

two dice are rolled. what is the probability of rolling a 3 and a 2? show your answer as a fraction in lowest terms. enter the numerator.

Explanation:

Step1: Find total number of outcomes

Each die has 6 possible outcomes. When two dice are rolled, the total number of outcomes is $6\times6 = 36$ by the multiplication principle.

Step2: Find favorable outcomes

The favorable outcomes are (3, 2) and (2, 3). So there are 2 favorable outcomes.

Step3: Calculate probability

The probability $P$ of an event is given by $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, $P = \frac{2}{36}=\frac{1}{18}$. We are asked for the numerator of the fraction in lowest - terms, which is 1.

Answer:

1