Question

You pick a card at random.

4
5
6
7
8


What is P(5 or prime)?

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

Answer 1

First, let's identify the total possible outcomes when you pick a card from the given numbers: 4, 5, 6, 7, and 8. There are 5 possible outcomes.

Next, let's examine what we need to find: \( P(5 \text{ or prime}) \).

1. **Identify the prime numbers in the set**:
- The prime numbers among the given cards are 5 and 7.

2. **Determine the successful outcomes for "5 or prime"**:
- The successful outcomes include 5 (which is specifically mentioned) and the prime number 7.
- Thus, the successful outcomes are: 5 and 7.

3. **Count the successful outcomes**:
- There are 2 successful outcomes: 5 and 7.

4. **Calculate the probability**:
- The probability \( P \) is given by the ratio of successful outcomes to total outcomes.

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

Thus, the simplified answer for \( P(5 \text{ or prime}) \) is:

\[
\frac{2}{5}
\]