Carcass wrote:
A box contains 4 red chips and 2 black chips. If 2 chips are randomly selected without replacement, what is the probability the two selected chips are different colors?
(A) 4/15
(B) 1/3
(C) 2/5
(D) 8/15
(E) 2/
P(different colors) = P(1st chip is red
AND 2nd chip is black
OR 1st chip is black
AND 2nd chip is red)
= [P(1st chip is red)
x P(2nd chip is black)]
+ [P(1st chip is black)
x P(2nd chip is red)]
= [4/6
x 2/5]
+ [2/6
x 4/5]
= 8/30 + 8/30
= 16/30
= 8/15
Answer: D