Question
two dice are rolled. what is probability of rolling a 2 and a 3?
Answers
GPT 3.5
There are a total of 36 possible outcomes when rolling two dice (6 possible outcomes for the first dice and 6 possible outcomes for the second dice).
The possible outcomes for getting a 2 on the first dice are (1, 2) and (2, 1).
The possible outcomes for getting a 3 on the second dice are (1, 2), (2, 1), and (3, 0).
Since (1, 2) and (2, 1) are common outcomes for both getting a 2 and a 3, we count this outcome only once.
Thus, the total number of favorable outcomes is 1.
Therefore, the probability of rolling a 2 and a 3 is 1/36.
The possible outcomes for getting a 2 on the first dice are (1, 2) and (2, 1).
The possible outcomes for getting a 3 on the second dice are (1, 2), (2, 1), and (3, 0).
Since (1, 2) and (2, 1) are common outcomes for both getting a 2 and a 3, we count this outcome only once.
Thus, the total number of favorable outcomes is 1.
Therefore, the probability of rolling a 2 and a 3 is 1/36.