Question

You roll a 6-sided die.




What is P(5 or greater than 4)?

Simplify your answer and write it as a fraction or whole number.

Answer 1

To find the probability \( P(5 \text{ or greater than } 4) \) when rolling a 6-sided die, we first identify the outcomes on the die:

- The possible outcomes when rolling a 6-sided die are: \( 1, 2, 3, 4, 5, 6 \).

Next, we need to determine which outcomes satisfy the condition of being either 5 or greater than 4.

- The number 5 satisfies the condition.
- The numbers greater than 4 are 5 and 6.

Thus, the successful outcomes that meet the condition \( 5 \text{ or greater than } 4 \) are:

- 5
- 6

So there are 2 successful outcomes: \( 5 \) and \( 6 \).

Now we need to calculate the total number of possible outcomes when rolling the die. There are 6 possible outcomes in total.

The probability is calculated as:

\[
P(5 \text{ or greater than } 4) = \frac{\text{Number of successful outcomes}}{\text{Total number of outcomes}} = \frac{2}{6}
\]

Now we simplify the fraction:

\[
\frac{2}{6} = \frac{1}{3}
\]

Therefore, the simplified probability is:

\[
\boxed{\frac{1}{3}}
\]