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1) Freckles and tasting of PTC, a bitter substance, are independent are dominant

ID: 3200852 • Letter: 1

Question

1) Freckles and tasting of PTC, a bitter substance, are independent are dominant traits in human. Use T-t and F-f, respectively, for alleles. Mary, freckled and non-taster, and Pablo, non-freckled and taster, have a non-freckled and non-taster child. What is the probability that their next child will be female, freckled and taster? (1/8)

2) In the progeny of two grey herons, 14 birds are grey and 5 are sandy. If each bird in this clutch is mated to a sandy bird, the most likely number that will produce only grey birds is: (5)

3) A plant heterozygous for three unlinked loci is selfed. What proportion of the offspring will be recessive at all traits? (1/64)

4) A pea plant with the genotype AABBcc is crossed with a peaplant with the genotype AaBbCc. What is the probability of an offspring having the genotype AABbcc or AaBBcc? (1/4)

5) In cow, horned is a recessive trait, polled (hornless) is dominant. You interbreed polled animals that you believe are heterozygous for the Polled gene. In their progeny you count 30 polled and 20 horned. What ratio of polled:horned animals is expected? (3:1)

I have included the answers in the parenthesis after the questions. I just need help on how to get those answers in detail please :)

Explanation / Answer

Answer to question# 1)

being a female, Freckled and taster are three independent events

P(Female) = 1/2 ..........[Since there are only two options: Male or Female]

P(freckeled) = 1/2 ........[Since there are only two options: freckeled or non freckeled]

P(taster) = 1/2..............[Since there are only two options: taster or non taster]

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Thus the probability of the next child to be (female, freckeled and taster) is as follows

P = P(female) * P(freckled) * P(taster)

P = 1/ 2 * (1/2) * 1/2

P = 1/8

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Thus the probability is 1/8