To find the probability of rolling a 1 followed by a even number when a die is rolled twice, we need to break down the possible outcomes:
1. When a die is rolled, there are 6 possible outcomes: 1, 2, 3, 4, 5, 6.
2. The probability of rolling a 1 on the first roll is 1/6 because there is only 1 outcome that results in a 1 out of the total 6 possible outcomes.
3. For the second roll, we want to roll an even number. There are 3 even numbers on a die: 2, 4, 6.
4. The probability of rolling an even number on the second roll is 3/6 or 1/2 because there are 3 favorable outcomes (2, 4, 6) out of 6 possible outcomes.
5. To find the overall probability of rolling a 1 followed by an even number, we multiply the probabilities of the individual events: (1/6) * (1/2) = 1/12.
6. Therefore, the probability of rolling a 1 followed by a even number when rolling a die twice is 1/12, which can be represented as a reduced fraction.
