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Family pedigrees and probabilities

Reproduction and inheritance · Inheritance · note 5 of 6

Family pedigrees and probabilitiesSpec 3.24, 3.25

A family pedigree (family tree) shows who in a family has a characteristic. Squares are usually males and circles are females. Shaded shapes show people with the characteristic. A horizontal line joins the parents and a vertical line leads down to their children.

  • If two parents who do not have a characteristic have a child who does, the characteristic is recessive. Both parents must be carriers: heterozygous, with one copy of the recessive allele.
  • If two parents who both have a characteristic have a child who does not, the characteristic is dominant. Both parents must be heterozygous.
Three-generation family pedigree with squares for males and circles for females: an affected grandmother (rr) and her carrier son (Rr) and his unaffected carrier partner (Rr) have an affected daughter (rr) and two unaffected children (RR or Rr). (opens full size in a new tab)
Two unaffected parents with an affected daughter: the characteristic is recessive and both parents are carriers (Rr).

Predicting probabilities

You can predict the outcome of a monohybrid cross as a ratio, a probability or a percentage.

Ways of giving the same outcome (Tt × Tt)
OutcomeBoxes out of 4ProbabilityPercentage
Short plant (tt)11/4 or 0.2525%
Tall plant (TT or Tt)33/4 or 0.7575%

Probability for a recessive disorder

A disorder is caused by a recessive allele (f). Two parents do not have the disorder but both are carriers (Ff). What is the probability that their child has the disorder?

  1. Gametes from each parent: F or f.
  2. Possible offspring: FF, Ff, Ff and ff.
  3. Only ff has the disorder. That is 1 out of 4 equally likely outcomes.

Answer: Probability = 1/4 = 0.25 = 25%.

Each child is an independent event. If the first child has the disorder, the probability for the next child is still 1 in 4. Probabilities describe chance. They do not guarantee the actual numbers in a family.

Maths skill:

A 3 : 1 ratio means 1 in 4 offspring show the recessive feature, not 1 in 3. Count the favourable boxes out of the total.

Exam tip:

In a pedigree question, find two parents with the same phenotype and a child with the other phenotype. That tells you which allele is dominant.