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Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are...

Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed.

Question: If these pigs produce a total of three piglets, what is the probability that one will be pink and two will be black? Express your answer using three significant figures.

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Answer #1

Here, Black skin colour is dominant to pink skin colour in pigs.

So, dominant black colour can be represented by allele 'B' and recessive pink colour can be represented by 'b'.

Since two heterozygous pigs are crossed, the genotype of parents will be 'Bb'.

The cross will be as follows :

Bb X Bb

B b
B BB - Black Bb - Black
b Bb - Black bb - Pink

Probability of getting black pigs is 3/4 and that of pink pigs is 1/4

Now we have to find the probability of getting 2 black and 1 pink pig. This can be produced in the following orders.

  • Black,Black,Pink OR
  • Black,Pink,Black OR
  • Pink,Black,Black   
  • Therefore the probability to get 2 black and 1 pink is, (3/4*3/4*1/4) + (3/4*1/4*3/4) + (1/4*3/4*3/4) = 9/64+ 9/64+9/64 = 27/64 = 0.422 AND - Multiplication rule OR - Addition rule
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