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# Daphnia is a type of water flea commonly found in lakes.

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Manager
Joined: 13 Jan 2018
Posts: 67
Location: India
GMAT 1: 580 Q47 V23
GPA: 4
Daphnia is a type of water flea commonly found in lakes.  [#permalink]

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18 Oct 2018, 04:41
1
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:09) correct 26% (01:23) wrong based on 39 sessions

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Daphnia is a type of water flea commonly found in lakes. Females can reproduce asexually, and they will either produce a male or female embryo depending on the stress level of their environment. If in a stressful environment a female has a 75% chance to reproduce asexually and the odds of a male being born are 2:1 then what is the probability that a female in this environment will asexually produce a male?

0.5
0.6
0.7
1.0
None of the above
Math Expert
Joined: 02 Aug 2009
Posts: 7022
Re: Daphnia is a type of water flea commonly found in lakes.  [#permalink]

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18 Oct 2018, 19:17
eswarchethu135 wrote:
Daphnia is a type of water flea commonly found in lakes. Females can reproduce asexually, and they will either produce a male or female embryo depending on the stress level of their environment. If in a stressful environment a female has a 75% chance to reproduce asexually and the odds of a male being born are 2:1 then what is the probability that a female in this environment will asexually produce a male?

0.5
0.6
0.7
1.0
None of the above

in a stressful environment a female has a 75% chance to reproduce asexually - so $$\frac{3}{4}$$ and
the odds of a male being born are 2:1, so $$\frac{2}{3}$$

the probability that a female in this environment will asexually produce a male = $$\frac{3}{4}*\frac{2}{3}=\frac{1}{2}$$=0.5

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Re: Daphnia is a type of water flea commonly found in lakes. &nbs [#permalink] 18 Oct 2018, 19:17
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