Question

A​ single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 6. Question content area bottom Part 1 The probability is enter your response here. ​(Type an integer or a fraction. Simplify your​ answer.)

Answer 1

The probability of rolling an odd number or a number less than 6 with a single roll of a six-sided die is 5/6.

Step-by-step explanation:

To find the probability of rolling an odd number or a number less than 6, we need to consider that the sample space for a single roll of a six-sided die is S = {1, 2, 3, 4, 5, 6}. The event of rolling an odd number is represented by A = {1, 3, 5} and the event of rolling a number less than 6 is represented by B = {1, 2, 3, 4, 5}. \\Now, we need to combine the two events and remove any duplicates since a number can't be counted more than once when calculating probability. The combined set without duplicates is {1, 2, 3, 4, 5} and it consists of 5 out of the 6 possible outcomes. Therefore, the probability of rolling an odd number or a number less than 6 is 5/6.