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Probability = (4c1*2c1)/(6c2) = 8/15
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Alternate way
Ways we get same color
4/6* 3/5 + 2/6*1/5
2/5+ 1/15 ; 7/15
(1-7/15) ; 8/15




BrentGMATPrepNow
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) 2/3

Posted from my mobile device
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BrentGMATPrepNow
BrentGMATPrepNow
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) 2/3

No takers??? Okay, here's my solution:

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
Cn you please explain how you calculate the probability of the second chip, as in, how did you get it to be 2/5 or 4/5?
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abini
BrentGMATPrepNow
BrentGMATPrepNow
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) 2/3

No takers??? Okay, here's my solution:

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
Cn you please explain how you calculate the probability of the second chip, as in, how did you get it to be 2/5 or 4/5?

There are 6 chips in total: 4 red and 2 black.

The probability of drawing a red chip first and then a black chip is 4/6 * 2/5.
The probability of drawing a black chip first and then a red chip is 2/6 * 4/5.

22. Probability



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