Question

The probability of rolling a single die and obtaining a 2 is 1/6. The probability of rolling a single die and obtaining a 5 is 1/6. What is the probability of rolling a single die and obtaining either a 2 or a 5?

Answer 1

The probability of rolling either a 2 or a 5 on a single six-sided die is 1/3, calculated by adding the individual probabilities of rolling a 2 (1/6) and a 5 (1/6).

Step-by-step explanation:

The student asked about the probability of rolling either a 2 or a 5 on a single six-sided die. The probability of rolling a 2 is 1/6, and the probability of rolling a 5 is also 1/6. To find the probability of either event occurring, you add the probabilities together since they are mutually exclusive events (rolling a 2 and rolling a 5 cannot happen at the same time). Therefore, the probability of rolling either a 2 or a 5 is:

P(2 or 5) = P(2) + P(5)

P(2 or 5) = 1/6 + 1/6

P(2 or 5) = 2/6

P(2 or 5) = 1/3

So, the probability of rolling either a 2 or a 5 on a single die is 1/3.