Question

You pick a card at random.

2
3
4
5


What is P(prime)?

Write your answer as a percentage.

%

Answer 1

To find the probability of picking a prime number from the given set of cards, we first identify which numbers in the set are prime. The numbers given are:

2, 3, 4, 5

The prime numbers among these are:
- 2 (prime)
- 3 (prime)
- 4 (not prime)
- 5 (prime)

So, the prime numbers in the set are 2, 3, and 5. There are 3 prime numbers out of a total of 4 cards.

Now, we can calculate the probability \( P(\text{prime}) \):

\[
P(\text{prime}) = \frac{\text{number of prime numbers}}{\text{total number of cards}} = \frac{3}{4}
\]

To express this as a percentage, we multiply by 100:

\[
P(\text{prime}) = \frac{3}{4} \times 100 = 75\%
\]

Therefore, the probability of picking a prime number is \( \boxed{75\%} \).