After a laboratory experiment, you have managed to breed 67 pea plants. Of these, 16 produce wrinkled peas and the rest produce round peas. Of the plants that produce round peas, 11 are homozygous and the rest are heterozygous. The plants which produce wrinkled peas are also homozygous (but with a different type of gene). You choose one pea plant at random.
1) [10 marks] Find the probability of choosing a heterozygous plant.
2) [10 marks] Suppose that you can tell by looking that the plant is homozygous, but you don't know which kind of pea it produces (round or wrinkled). Find the probability that the randomly chosen homozygous plant produces wrinkled peas, and express this using the proper notation from class.
all wrinkled are homozogous (recessive are not heterozygous)
| homozygous | heterozygous | |
| round | 11 | 40 |
| wrinkled | 16 | - |
1.
P(heterozygous) = no. of heterozygous / total
P(heterozygous) = 40/67
2.
P(wrinkled | homozygous) = no.of wrinkled homozygous / no. of homozygous
P(wrinkled | homozygous) = 16/27
P.S. (please upvote if you find the answer satisfactory)
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