Question

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 7 and then picking a 7?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The probability of picking a 7 on the first draw is 1/4, since there is one 7 out of four cards.

After picking a 7 on the first draw, there are now three cards left, and one of them is a 7. Therefore, the probability of picking a 7 on the second draw is 1/3.

To find the overall probability of picking a 7 and then picking a 7, you multiply the probabilities of each event happening:

1/4 * 1/3 = 1/12

Therefore, the probability of picking a 7 and then picking a 7 is 1/12.