Final answer:
The probability of rolling an odd number or a number less than 6 on a six-sided is 5/6, as there are 5 outcomes that match the criteria out of 6 possible outcomes.
Step-by-step explanation:
To find the probability of rolling an odd number or a number less than 6 on a six-sided die, we need to consider the possible outcomes. The sample space, S, for a six-sided die is {1, 2, 3, 4, 5, 6}.
Odd numbers on a die are 1, 3, and 5, so event A (rolling an odd number) can be defined as A = {1, 3, 5}. Any number less than 6 would be 1, 2, 3, 4, and 5, so event B (rolling a number less than 6) is B = {1, 2, 3, 4, 5}. If we combine these two events to find numbers that are either odd or less than 6, we notice that all numbers from 1 to 5 qualify.
Hence, the combined event C for rolling an odd number or a number less than 6 is C = {1, 2, 3, 4, 5}. There are 5 outcomes that match the criteria in the combined event out of 6 possible outcomes. Therefore, P(C) = \( \frac{5}{6} \), which is the probability we were seeking.