Question

The sample space below shows the outcomes of rolling two dice. What is the probability that at least one of the rolls is a 3?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Sample space:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

There are a total of 36 possible outcomes.

Outcomes where at least one roll is a 3:
(1,3), (2,3), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,3), (5,3), (6,3)

There are 11 outcomes where at least one roll is a 3.

Therefore, the probability that at least one of the rolls is a 3 is:
11/36 = 0.3056 or 30.56%.