A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4?
Solution
Problem
A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4?
Step 1: List the possible outcomes.
A fair six-sided die has the outcomes:
1, 2, 3, 4, 5, 6
There are 6 equally likely outcomes.
Step 2: Identify the outcomes greater than 4.
The numbers greater than 4 are:
5 and 6
There are 2 favorable outcomes.
Step 3: Calculate the probability.
P(number greater than 4) = 2 / 6
Step 4: Simplify the fraction.
2 / 6 = 1 / 3
Therefore, the probability of rolling a number greater than 4 is 1/3.
Result
1/3