Rolling a single die gives us the numbers 1 through 6. To find the probability of rolling an even number or a number less than 4, we can first identify the possible outcomes:
Even numbers on a die: 2, 4, 6
Numbers less than 4 on a die: 1, 2, 3
To find the probability of rolling an even number or a number less than 4, we need to consider the following steps:
1. Calculate the probability of rolling an even number:
- There are 3 even numbers on a die (2, 4, 6).
- The total number of outcomes on a die is 6.
- Therefore, the probability of rolling an even number is 3/6 or 1/2.
2. Calculate the probability of rolling a number less than 4:
- There are 3 numbers less than 4 on a die (1, 2, 3).
- The total number of outcomes on a die is 6.
- Therefore, the probability of rolling a number less than 4 is 3/6 or 1/2.
3. Since we are looking for the probability of rolling an even number or a number less than 4, we need to consider the numbers that satisfy either condition:
- Numbers that are both even and less than 4 are 2.
- Numbers that are either even or less than 4 are 1, 2, 3, 4, 6.
4. Calculate the total favorable outcomes:
- There are 5 favorable outcomes (1, 2, 3, 4, 6) for rolling an even number or a number less than 4.
- The total number of outcomes on a die is 6.
5. Calculate the probability of rolling an even number or a number less than 4:
- The probability is given by the number of favorable outcomes divided by the total number of outcomes: 5/6.
Regarding the nature of this event, it is inclusive because the events of rolling an even number and rolling a number less than 4 can happen together.
