A bag has 3 red and 7 blue marbles. Two are drawn without replacement. Probability both are red?

A bag has 3 red and 7 blue marbles. Two are drawn without replacement. Probability both are red?

Approach: Multiply conditional probabilities.

1/15. (3/10) * (2/9) = 6/90 = 1/15.

Follow-up: What is the probability if drawn with replacement?

Key concepts: without replacement, joint probability.