SOLUTION: Mary has 14 hats. She has 4 green, 2 blue and 8 red. If she selects two hats what is the probability that both hats are different colors? Round your answer to two decimal plac

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Question 441252: Mary has 14 hats. She has 4 green, 2 blue and 8 red. If she selects two hats what is the probability that both hats are different colors?
Round your answer to two decimal places.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, Previously posted

 Mary has 30 hats. She has 5 green, 7 blue, 12 red, and 6 brown. 

 selects two hats at random

P(they are different colors) = 1 - P(both are the same color)

P(both are the same color) = 5/30*4/29 + 7/30*6/29 + 12/30*11/29 + 6/30*5*29

                           = (20 + 42 + 132 + 30)/30*29 =  224/30*29 = .2575

P(they are different colors) = 1 -.2575 = .7425