If four boxes of crayons contain six different colored crayons in each box, and a crayon is randomly selected from each box, what is the probability of getting at least one pair of the same colored crayons?
Choices:
A) 13/18
B) 5/18
C) 1/2
D) 2/3
E) 1/6
AT LEAST one pair of matching crayons.   First solve for NO matching crayons:   1st box = any color = 6/6   2nd box = not a match to the first = 5/6   3rd box = not a match to the 1st or 2nd = 4/6   4th box = not a match to the 1st or 2nd or 3rd = 3/6   (6/6)(5/6)(4/6)(3/6) =   (1)(5/6)(2/3)(1/2) =   10/36   10/36 is the probability of NO matching crayons, so...   1 - 10/36 = 26/36 = the probability of getting at least one matching pair of crayons.   26/36 = 13/18   13/18nswer: 13/18
<result>A</result>
If four boxes of crayons contain six different colored crayons in each box, and a crayon is randomly selected from each box, what is the probability of getting at least one pair of the same colored crayons?