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Probability and Punnett Squares 11-2 Genetics and Probability • The likelihood that a particular event will occur is called probability. • As an example of probability, consider an ordinary event like flipping a coin. – The chances, or probabilities, of either outcome are equal. – The probability that a single coin flip will come up heads is 1 chance in 2. – This is 1/2, or 50 percent. Question • If you flip a coin three times in a row, what is the probability that it will land heads up every time? Guess: _______________ • each coin flip is an independent event, the probability of each coin's landing heads up is 1/2. Answer • the probability of flipping three heads in a row is 1/2 * 1/2 *1/2=1/8 • The principles of probability can be used to predict the outcomes of genetic crosses. Punnett Squares • Diagrams that show the gene combinations that might result from a genetic cross • Punnett squares can be used to predict and compare the genetic variations that will result from a cross. • When making Punnett squares, capital letters are used to represent dominant traits • Lower case letters are used to represent recessive traits Homozygous & Heterozygous • Organisms that have two identical alleles for a particular trait (TT or tt) are said to be homozygous – True-breeding • Organisms that have two different alleles for the same trait Tt are heterozygous – Hybrid Genotype and Phenotype • Genotype refers to genetic makeup, or what alleles the organism has • Phenotype refers to the physical appearance of an organism – Organisms with the same phenotype may not have the same genotype Probability and Segregation • Mendel had assumed that segregation of alleles had occurred during gamete formation • Repeatedly, a 3 dominant:1 recessive ratio appeared in each of his 7 crosses • Segregation did happen Probabilities Predict Averages • Probabilities predict the average outcome of a large number of events. • Probability cannot predict the precise outcome of an individual event. • If you flip a coin twice, you are likely to get one head and one tail. . • However, you might also get two heads or two tails. To be more likely to get the expected 50 : 50 ratio, you would have to flip the coin many times • Genetics is the same way. • The more offspring, the closer to Mendelian ratios you get