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Martian Genetics

Puzzle 3: Purple Eyes and Plath's Poetry

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(based on 17 votes)

Martian eye color is determined by a single X-linked gene. Martians have either purple (X-dominant) or orange (X-recessive) eyes. Martian females, like human females, have two X chromosomes; Martian males, like human males, have one X chromosome and one Y chromosome.

How a Martian enjoys spending a Saturday afternoon is also determined genetically, in this case by a single autosomal (which is to say, not gender-specific) chromosome that comes in two varieties (S or s). There are two favorite recreational activities: the dominant trait, watching NASCAR (SS or Ss); or the recessive trait, reading the poetry of Sylvia Plath (ss).

A traditional Martian marriage consists of one female Martian and two males. The female Martian only mates with her two husbands. One day, you meet a married trio:

  • Kleq, a female, who has orange eyes and likes to watch NASCAR.
  • Fbu, a male, who has orange eyes and likes to watch NASCAR.
  • Zrgo, a male, who has purple eyes and likes to read the poetry of Sylvia Plath.

Can you answer the following questions? Please enter your answers as percentages, rounded to the nearest whole number.

1. Kleq and Fbu have a daughter, Hib, who likes to read the poetry of Sylvia Plath. They also have a son, Tnku. What is the probability that Tnku likes to watch NASCAR?

%

2. Kleq has a child named Gor who has purple eyes. What is the probability that Gor is a boy?

%

3. What is the probability that Gor likes to watch NASCAR?

%

4. Kleq has a daughter, Hnlo, who has orange eyes. What is the probability that Gor and Hnlo share the same father?

%

5. Kleq has a son, Tka, who also has orange eyes. What is the probability that Gor and Tka share the same father?

%

6. What is the probability that Hnlo and Tka share the same father?

%

7. Kleq has two daughters, Pilm and Wser, who both like to watch NASCAR. What is the probability that Pilm and Wser share the same father?

%


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