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7:00 herkimer.open.suny.edu 0 Grade: 14/40 A bag contains 6 red marbles, 9 white

ID: 3048720 • Letter: 7

Question

7:00 herkimer.open.suny.edu 0 Grade: 14/40 A bag contains 6 red marbles, 9 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is Preview. What is the probability that exactly two of the marbles are red? The probability that exactly two of the marbles are red is Preview What is the probability that none of the marbles are red? The probability of picking no red marbles is Preview. Points possible: 1 This is attempt 1 of 3 License Submit

Explanation / Answer

Total number of marbles = 6 + 9 + 7 = 22

Hence,

1. P(All the marbles are red) = (6/22)*(5/21)*(4/20) = 1/77

2. P(Exactly two marbles are red) = 3*(6/22)*(5/21)*(16/20) = 12/77

3. P(None of the marbles are red) = (16/22)*(15/21)*(14/20) = 4/11

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