Question

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?

Answer 1

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)
OA is official answer
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