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, with
out replacement. What is the probability that both roses selected are red?
1. 14/121
2. 4/33
3. 32/231
4. 35/231
1 answer:
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
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