two dice are rolled. what is the probability of rolling a 3 and a 2? show your answer as a fraction in…
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.
Answer
Explanation:
Step1: Calculate total 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) and (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 the number of favorable outcomes divided by the 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