Probability in Genetics
The presence of dimples is a dominant trait governed by Gregor Mendel's Law of Inheritance. Two heterozygous parents got married and intent to have five children. What is the probability that three children will have dimples and two won't?
Note: DD = homozygous dominant, Dd = heterozygous dominant, dd = homozygous recessive
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1 solution
According to Gregor Mendel's Law of separation, both sides of the couple will produce two kinds of gametes(D and d) that are equal in number. Besides, the combination of gametes is random,so the probability that the couple will have a child who has dimples is 3/4. To solve the problem, we also need the knowledge of permutation and combination. Because every child's birth is an independent event, the final result is C35×(3/4)³×(1/4)²=135/512.