You pick a card at random. Without putting the first card back, you pick a second card at random.

3
4
5
6
7

What is the probability of picking a 4 and then picking a 7?

Write your answer as a percentage.

1 answer

The probability of picking a 4 first is 1/5 since there is one 4 in a total of five cards.

After picking the first card (4), there are now four cards remaining including a 7, so the probability of picking a 7 second is 1/4.

The total probability of picking a 4 and then a 7 is (1/5) * (1/4) = 1/20 = 5%.

So, the probability of picking a 4 and then picking a 7 is 5%.