You are rolling a fair six-sided die. What is the probability of rolling an odd number or a number less than 4?A.1/3B.2/3C.1/2D.5/6

The outcomes of rolling a fair six-sided die are {1, 2, 3, 4, 5, 6}.

The outcomes for rolling an odd number are {1, 3, 5}, so there are 3 outcomes.

The outcomes for rolling a number less than 4 are {1, 2, 3}, so there are 3 outcomes.

However, you'll notice that the outcomes for rolling an odd number and rolling a number less than 4 overlap. The overlapping outcomes are {1, 3}. We don't want to count these outcomes twice, so we need to subtract the number of overlapping outcomes from the total.

So, the total number of outcomes for rolling an odd number or a number less than 4 is 3 (odd numbers) + 3 (numbers less than 4) - 2 (overlapping outcomes) = 4.

The total number of possible outcomes when rolling a six-sided die is 6.

So, the probability of rolling an odd number or a number less than 4 is 4/6 = 2/3.

Therefore, the correct answer is B. 2/3.