SOLUTION: If you had 17 blue M&M's and 101 total M&M's in a bag with 6 different colors... What is the probability of selecting 1 blue M&M out of 5 randomly selected in your bag of M&M's

Algebra ->  Probability-and-statistics -> SOLUTION: If you had 17 blue M&M's and 101 total M&M's in a bag with 6 different colors... What is the probability of selecting 1 blue M&M out of 5 randomly selected in your bag of M&M's      Log On


   

Question 653872: If you had 17 blue M&M's and 101 total M&M's in a bag with 6 different colors...
What is the probability of selecting 1 blue M&M out of 5 randomly selected in your bag of M&M's?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Re TY: Must take into account that 5 of the 101 are selected...

101 total, 17Blue, 84 Not Blue

5 randomly selected...

5 Marbles selected: There are 101C5 ways of that happening: 79,208,745 ways

Ways... one of the five is Blue: 17C1*84C4 = 17*1,929,501 = 32,801,517 

Or

 P(1 of the 5 is blue) = 32,801,517/79,208,745 = .4141  0r  41.41%  

(~33,000,000/78,000,000)  0r (~33/78)