what is the probability of rolling a 6-sided die and getting a 4 or a number divisible by 3
4, 3, 6
3/6 = 1/2
To find the probability of rolling a 6-sided die and getting a 4 or a number divisible by 3, we need to first determine the number of favorable outcomes and the total number of possible outcomes.
Step 1: Determine the favorable outcomes:
We have two conditions: rolling a 4 or rolling a number divisible by 3. Let's calculate each condition separately.
Condition 1: Rolling a 4
There is only one outcome that satisfies this condition, which is rolling a 4.
Condition 2: Rolling a number divisible by 3
There are two numbers on a 6-sided die that are divisible by 3: 3 and 6.
Step 2: Determine the total number of possible outcomes:
A standard 6-sided die has 6 possible outcomes, numbered from 1 to 6.
Step 3: Calculate the probability:
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The number of favorable outcomes is 1 (condition 1) + 2 (condition 2) = 3.
The total number of possible outcomes is 6 (from rolling a 6-sided die).
So, the probability of rolling a 4 or a number divisible by 3 is 3/6, which simplifies to 1/2 or 0.5.
To find the probability in general, you can follow these steps:
1. Identify the favorable outcomes.
2. Count the total number of possible outcomes.
3. Divide the number of favorable outcomes by the total number of possible outcomes.