To find the probability of rolling a 5 on the first roll and then a 2 on the second roll of a die, we need to consider the probabilities of each individual event.
1. **Rolling a 5**: The die has six faces, numbered from 1 to 6. The probability of rolling any specific number, including 5, is given by:
- Probability of rolling a 5 = Number of favorable outcomes / Total possible outcomes = 1/6
2. **Rolling a 2**: Similarly, the probability of rolling a 2 is:
- Probability of rolling a 2 = Number of favorable outcomes / Total possible outcomes = 1/6
3. **Combined Probability**: Since the rolls are independent events, we can find the combined probability of both events happening in sequence by multiplying the probabilities of each event:
- Combined Probability = Probability of rolling a 5 × Probability of rolling a 2
- Combined Probability = (1/6) × (1/6) = 1/36
Thus, the probability of rolling a 5 followed by a 2 when a die is rolled twice is 1/36.