two dice are rolled, find p(2,then 3)
To find the probability of rolling a 2 on the first die and then a 3 on the second die, you need to consider the total number of possible outcomes and the number of favorable outcomes.
Step 1: Determine the total number of possible outcomes
When two dice are rolled, each die has six sides, numbered 1 through 6. Therefore, the total number of possible outcomes is calculated by multiplying the number of sides on one die by the number of sides on the other die. In this case, it is 6 * 6 = 36.
Step 2: Determine the number of favorable outcomes
To roll a 2 on the first die and a 3 on the second die, there is only one possible outcome: rolling a 2 on the first die and rolling a 3 on the second die.
Step 3: Calculate the probability
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
So, the probability of rolling a 2 on the first die and then a 3 on the second die is 1/36.