A box contains 4 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?

A. 1/2

B. 8/15

C. 7/12

D. 2/3

E. 7/10

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My solution:

Got the correct answer by the following method.

(4/6)(2/5)+(2/6)(4/5)= 8/15>>OA

My querie:

Why are we not getting the answer when we do 1-same color??

1-Both red + 1-both blue

(4/6)(3/6)+(2/6)(1/6)

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