two regular 6 sided dice are tossed compute the probability of rolling a 3 or doubles

Answer 1

To determine the probability of rolling a 3 or doubles with two regular 6-faced dice, we need to calculate the total number of favorable outcomes and divide it by the total number of possible outcomes:

Total number of possible outcomes when 2 dice are tossed = 6 * 6 = 36 (since each die has 6 faces)

Now we need to count the number of favorable outcomes:

1) Roll a 3: There are two ways to achieve this outcome - (1, 2) and (2, 1).

2) Roll doubles: There are six ways to achieve this outcome - (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6).

So, the total number of favorable outcomes is 2 + 6 = 8.

Now divide the number of favorable outcomes by the number of possible outcomes:

Probability = Favorable outcomes / Possible outcomes = 8 / 36 = 2 / 9 ≈ 0.222 or 22.2%.