Oct 17, 2015

Probability in Genetics

Probability, a fundamental concept in genetics, represents the likelihood of an event occurring. For instance, when a coin is tossed, the chances of obtaining either heads or tails are equal, resulting in a 50:50 probability, expressed as 1/2 for each outcome. This equilibrium is reflected in ratios like 1/2 head : 1/2 tail or simply 1:1. To calculate the probability of two consecutive heads, one multiplies 1/2 by 1/2, yielding an answer of 1/4. It's essential to note that the outcome of one event doesn't influence subsequent occurrences of the same event.

Example Scenarios

Cross: AA x Aa

Possible Offspring: AA, AA, Aa, Aa

Phenotype: All dominant

Genotype Ratio: 2:2

Cross: Aa x Aa

Possible Offspring: AA, Aa, Aa, aa

Phenotype Ratio: 3:1

Genotype Ratio: 1:2:1

Problem Scenario: Albinism Trait

Considering that albinism is a recessive trait in humans, when two normal parents have an albino child, the next child's probability of being normal or albino can be assessed.

Answer of the above problem

The probability that their next child will be normal is 2/3 (or approximately 66.67%), while the probability of the child being albino is 1/3 (or approximately 33.33%). This prediction is based on the fact that both parents carry a recessive allele for albinism (Aa) while having a normal phenotype. When they reproduce, there's a 25% chance of having an AA child (normal), a 50% chance of having an Aa child (normal carrier), and a 25% chance of having an aa child (albino). Therefore, the overall probabilities for the next child being normal or albino are 2/3 and 1/3, respectively.