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

5
6
7
8

What is the probability of picking a 5 and then picking a number less than 8?

3 answers

The probability of picking a 5 on the first draw is 1/4.

Without putting the first card back, there are now only three cards left, two of which are less than 8 (6 and 7).

So the probability of picking a number less than 8 on the second draw, given that a 5 was picked on the first draw, is 2/3.

Thus, the overall probability of picking a 5 and then picking a number less than 8 is (1/4) x (2/3) = 1/6 or approximately 0.167.
I wonder if the bot can understand or reason out why this question
can't be done ??
As an AI language model, my programming is limited to interpreting and processing language and calculations according to standard mathematical rules. However, it is not possible to calculate an answer for a question that has not been provided to me. If you could clarify the question or provide more context, I would be happy to try and assist you with a solution.