Final answer:
The probability of rolling a number less than 4 or an even number is 1/2
Explanation:
To find the probability of rolling a number less than 4 or an even number, we need to consider the possible outcomes.
1. Numbers less than 4: There are 3 possible outcomes (1, 2, 3).
2. Even numbers: There are 3 possible outcomes (2, 4, 6).
However, the number 2 is counted in both categories (less than 4 and even), so we should not double count it when calculating the total number of favorable outcomes.
Therefore, the total number of favorable outcomes is 3 (1, 2, 3) + 2 (4, 6) - 1 (2 is counted twice) = 4.
The total number of possible outcomes when rolling a fair six-sided die is 6 (numbers 1 through 6).
So, the probability of rolling a number less than 4 or an even number is the ratio of favorable outcomes to total outcomes, which is 4/6 = 2/3
