College Math Placement Practice Test

If a die is rolled, what is the probability of rolling a number greater than 4?

1. 1/6

2. 1/3

3. 1/2

4. 1/4

The correct answer is: 1/6

To determine the probability of rolling a number greater than 4 on a standard six-sided die, first identify the numbers on the die: 1, 2, 3, 4, 5, and 6. The numbers greater than 4 are 5 and 6. There are two favorable outcomes (rolling a 5 or a 6) out of a total of six possible outcomes (the six faces of the die). The probability is calculated using the formula: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{2}{6} \] This simplifies to \(\frac{1}{3}\). Thus, the probability of rolling a number greater than 4 is \(\frac{1}{3}\). The resulting value indicates that among the total rolls possible, one third of the time, a number greater than 4 will appear.