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: Calculate total number of outcomes

When rolling two dice, each die has 6 possible outcomes. So the total number of outcomes when rolling two dice is $6\times6 = 36$ according to the multiplication - principle.

Step2: Determine favorable outcomes

The favorable outcomes of rolling a 3 and a 2 are two cases: (3 on the first die and 2 on the second die) or (2 on the first die and 3 on the second die). So there are 2 favorable outcomes.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability of rolling a 3 and a 2 is $\frac{2}{36}=\frac{1}{18}$. We are asked for the numerator, which is 1.

Answer:

1