Question

You pick a card at random.

5
6
7


What is P(6 or prime)?

Write your answer as a percentage.

%

Answer 1

To find \( P(6 \text{ or prime}) \), we need to identify the prime numbers in the set {5, 6, 7} and then determine how many of the total cards satisfy the condition of being either 6 or a prime number.

1. **Identify the prime numbers:**
- 5 is prime
- 6 is not prime
- 7 is prime

The prime numbers in the set are 5 and 7.

2. **Identify the numbers that meet the condition:**
- The event "6 or prime" includes:
- The number 6
- The prime numbers 5 and 7

Therefore, the numbers fulfilling our criteria are 5, 6, and 7.

3. **Count the favorable outcomes:**
- The total count of favorable outcomes (5, 6, and 7) is 3.

4. **Count the total possible outcomes:**
- The total number of cards is 3 (5, 6, 7).

5. **Calculate the probability:**
\[
P(6 \text{ or prime}) = \frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} = \frac{3}{3} = 1
\]

6. **Convert to percentage:**
\[
P(6 \text{ or prime}) = 1 \times 100 = 100\%
\]

Therefore, \( P(6 \text{ or prime}) = 100\% \).