A die is rolled twice. What is the probability of showing a 2 on both rolls?Write your answer as a simplified fraction.

Step 1: Understand the problem We are rolling a die twice and we want to find the probability of getting a 2 on both rolls.

Step 2: Determine the total number of outcomes A die has 6 faces, so when we roll it once, there are 6 possible outcomes. When we roll it twice, there are 6*6 = 36 possible outcomes.

Step 3: Determine the number of favorable outcomes The favorable outcome is getting a 2 on both rolls. There is only 1 way this can happen (2 on the first roll and 2 on the second roll).

Step 4: Calculate the probability The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability of getting a 2 on both rolls is 1/36.