SOLUTION: A bag contains three black balls,four white balls and five red balls.Three balls are removed without replacement.What is the probability of obtaining; (a) One of each colour.(b) At

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Question 1204014: A bag contains three black balls,four white balls and five red balls.Three balls are removed without replacement.What is the probability of obtaining; (a) One of each colour.(b) At least two red balls
Answer by ikleyn(52786) About Me  (Show Source):
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A bag contains three black balls,four white balls and five red balls.
Three balls are removed without replacement.
What is the probability of obtaining;
(a) One of each colour.
(b) At least two red balls
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(a)  P = %28C%5B3%5D%5E1%2AC%5B4%5D%5E1%2AC%5B5%5D%5E1%29%2FC%5B3%2B4%2B5%5D%5E3 = %283%2A4%2A5%29%2FC%5B12%5D%5E3 = 60%2F220 = 3%2F11.    ANSWER


(b)  P = %28C%5B5%5D%5E2%2AC%5B3%2B4%5D%5E1+%2B+C%5B5%5D%5E3%29%2FC%5B12%5D%5E3 = %2810%2A7%2B10%29%2F220 = 80%2F220 = 4%2F11.    ANSWER

Solved.

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To see many other similar  (and different)  problems solved,  look into the lesson
    - Elementary Probability problems related to combinations
in this site.

Learn the subject from there.