Question

You pick one of 8 cards at random, put it back, and then pick another card at random.

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

Write your answer as a fraction or whole number.

Answer 1

Assuming the cards are labeled 1–8: P(first < 8) = 7/8. P(second odd) = 4/8 = 1/2. With replacement these are independent, so the probability is (7/8)(1/2) = 7/16.