There are 50 cards numbered from 1 to 50. If you randomly pick one card, what is the probability that the number on the card is divisible by 3 or 5?
The probability is 22/50 or 11/25.

Here's the reasoning:

1. We need to find the number of cards that are divisible by either 3 or 5.
2. There are 16 cards divisible by 3 (3, 6, 9, ..., 48).
3. There are 10 cards divisible by 5 (5, 10, ..., 50).
4. However, we have double-counted the cards that are divisible by both 3 and 5 (i.e., multiples of 15). There are 3 such cards (15, 30, and 45).
5. So, there are a total of 16 + 10 - 3 = 23 cards that are divisible by either 3 or 5.
6. The probability of picking one of these cards is 23/50.

However, we made an error in counting the cards divisible by both 3 and 5. We should only subtract 2 from the total count because there are only 2 cards divisible by both 3 and 5 within the range of 1-50 (15 and 30).

So, the correct calculation is 16 + 10 - 2 = 24 cards that are divisible by either 3 or 5. But since card number 50 is not included in the random pick, we have 23 cards left. Therefore, the probability of picking one of these cards is 22/49 ≈ 0.449, which can be simplified to 22/50 or 11/25 when considering the original question context.