You pick a card at random. Without putting the first card back, you pick a second card at random.
2
3
4
What is the probability of picking a 4 and then picking a number greater than 3?
Since the first card has already been picked and not put back, there are only two cards left to choose from for the second pick. The outcomes that satisfy the condition of picking a 4 first and then a number greater than 3 (either a 3 or a 4) on the second pick are:
- 4 followed by 3 (4-3)
- 4 followed by 4 (4-4)
Therefore, the probability is 2/3 or about 0.67.