Question

If you roll a six-sided die, what is the probability that you will obtain a number greater than 2?
1)2/3
2)4
3)1/6
4)5/6

Answer 1

When you roll a six-sided die, the possible outcomes are 1, 2, 3, 4, 5, and 6.

To find the probability of rolling a number greater than 2, we first identify the favorable outcomes:
- The numbers greater than 2 are: 3, 4, 5, and 6.

This gives us 4 favorable outcomes (3, 4, 5, 6).

The total number of possible outcomes when rolling a die is 6.

The probability \( P \) of rolling a number greater than 2 is given by the formula:
\[
P(\text{number > 2}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{4}{6} = \frac{2}{3}
\]

Therefore, the answer is:
1) \( \frac{2}{3} \)