You pick a card at random, put it back, and then pick another card at random.

1
2
3
4
5
6

What is the probability of picking an even number and then picking an even number?

Write your answer as a percentage.

There are 3 even numbers (2, 4, 6) out of the 6 total numbers.

The probability of picking an even number first is 3/6 = 1/2 = 50%

Since we replace the card after picking it, the probability of picking an even number again on the second pick is also 3/6 = 1/2 = 50%

Therefore, the probability of picking an even number and then picking an even number is (1/2) * (1/2) = 1/4 = 25%

So, the probability is 25%.