To find the probability of picking a 3 and then picking a 2, we can break down the problem step by step:
1. First, let's determine the probability of picking a 3 from the set of cards. Since there is only one card with a 3 out of a total of 4 cards, the probability of picking a 3 is 1/4.
2. After picking a card (which is replaced back in the deck), we now want to find the probability of picking a 2. Similarly, there is only one card with a 2 out of the same 4 cards. Therefore, the probability of picking a 2 is also 1/4.
3. To find the overall probability of both events happening (picking a 3 and then a 2), we multiply the individual probabilities. So, (1/4) * (1/4) = 1/16.
Therefore, the probability of picking a 3 and then picking a 2 is 1/16.