Question

a single six - sided die is rolled. find the probability of rolling an odd number or a number less than 3. the probability is □ (type an integer or a fraction. simplify your answer.)

Explanation:

Step1: List all possible outcomes

A single - six - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6.

Step2: Identify favorable outcomes

The odd numbers are 1, 3, 5 and the numbers less than 3 are 1, 2. The set of odd numbers or numbers less than 3 is {1, 2, 3, 5}, so there are 4 favorable outcomes.

Step3: Calculate the probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of outcomes is 6 and the number of favorable outcomes is 4. So $P = \frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$