Question

A vase contains 4 pink roses, 8 red roses, and 10 white roses. Two roses are randomly selected from the vase one at a time, without replacement. What is the probability that both roses selected are red?

1. 14/121
2. 4/33
3. 32/231
4. 35/231

Answer 1

there are 22 roses in the vase
probability of first selecting a red rose = 8/22 = 4/11

P( second one is red) = 7/21 = 1/3

these probabilities are multiplied because the individual picks are independent
so the answer is 4/11 * 1/4 = 4/33