SOLUTION: 8.)A bag contains fourteen yellow balls, two violet balls, and nine red balls. You pick one without looking. What is the probability that you will draw three red balls in a row?

Algebra ->  Probability-and-statistics -> SOLUTION: 8.)A bag contains fourteen yellow balls, two violet balls, and nine red balls. You pick one without looking. What is the probability that you will draw three red balls in a row?      Log On


   

Question 999738: 8.)A bag contains fourteen yellow balls, two violet balls, and nine red balls. You pick one without
looking. What is the probability that you will draw three red balls in a row?
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
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8.)  A bag contains fourteen yellow balls, two violet balls, and nine red balls.  You pick one without looking.
What is the probability that you will draw three red balls in a row?
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The full space of events consists of combinations of  25  things taken  3  at a time;  C%5B25%5D%5E3  combinations.
Of them three red balls in a row you can choose by  C%5B9%5D%5E3 ways.

Hence,  the probability is

C%5B9%5D%5E3 : C%5B25%5D%5E3 = %289%2A8%2A7%29%2F%281%2A2%2A3%29 : %2825%2A24%2A23%29%2F%281%2A2%2A3%29 = %289%2A8%2A7%29%2F%2825%2A24%2A23%29 = %283%2A7%29%2F%2825%2A23%29 = 0.036522 (approximately).