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# 2/5 of the fish in an aquarium is red and 1/4 of the fish is brown.

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Intern
Joined: 28 Aug 2015
Posts: 16
Location: Norway
WE: Information Technology (Consulting)
2/5 of the fish in an aquarium is red and 1/4 of the fish is brown.  [#permalink]

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04 Sep 2016, 03:28
00:00

Difficulty:

5% (low)

Question Stats:

95% (01:56) correct 5% (04:39) wrong based on 38 sessions

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2/5 of the fish in an aquarium is red and 1/4 of the fish is brown. 1/4of the red fish and 1/5 of the brown fish is male. If the rest of the fish in the aquarium is female, what is the probability that a fish randomly picked from the aquarium is male?

(A) 3/20
(B) 7/30
(C) 5/16
(D) 1/3
(E) 2/5
Math Expert
Joined: 02 Aug 2009
Posts: 8336
Re: 2/5 of the fish in an aquarium is red and 1/4 of the fish is brown.  [#permalink]

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04 Sep 2016, 03:47
sumitsinha4u wrote:
2\5 of the fish in an aquarium is red and 1\4 of the fish is brown.1\4of the red fish and 1\5 of the brown fish is male. If the rest of the fish in the aquarium is female, what is the probability that a fish randomly picked from the aquarium is male?
(A) 3\20
(B) 7\30
(C) 5\16
(D) 1\3
(E) 2\5

Hi

Straight method....
1/4 of 2/5 + 1/5 of 1/4 = 2/20 +1/20 =3/20....
A

Logically
if all fishes would have been only red and brown, answer would have been between 1/5 and 1/4.....
Here other colours are also present which are all females, so answer will be closer to lower end..

In any case , answer cannot be >1/4, so ONLY A and B are left
_________________
Re: 2/5 of the fish in an aquarium is red and 1/4 of the fish is brown.   [#permalink] 04 Sep 2016, 03:47
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