Question 999738
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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[25]^3}}}  combinations.

Of them three red balls in a row you can choose by  {{{C[9]^3}}} ways.


Hence,  the probability is


{{{C[9]^3}}} : {{{C[25]^3}}} = {{{(9*8*7)/(1*2*3)}}} : {{{(25*24*23)/(1*2*3)}}} = {{{(9*8*7)/(25*24*23)}}} = {{{(3*7)/(25*23)}}} = 0.036522 (approximately).