A tall pea plant with purple flowers is crossed to a dwarf white flowers plant.

Question

A tall pea plant with purple flowers is crossed to a dwarf white flowers plant. The F1 are all tall plants with purple flowers. A member of the F1 is test crossed and the results for the progeny are

tall and purple- 92

tall and white- 83

dwarf and purple- 89

dwarf and white- 80

If an F1 individual from the previous cross goes through self-fertilization.

a) what is the probability that the first 3 progeny will all be tall and white?

b) what is the probability that the first 3 progeny will be identical (same height and same flower color)?

c) what is the probability of getting 4 purple and 2 white flowers progeny ?

Explanation / Answer

From the test cross data it is clear that the ratio is roughly 1:1:1:1

so the parent plant was heterogygous in trait

So probability that the first 3 progeny will all be tall and white = 1/4 * 1/4 *1/4 = 1/64

probability that the first 3 progeny will be identical =  1/4 * 1/4 *1/4 = 1/64

what is the probability of getting 4 purple and 2 white flowers progeny is = 1/16 * 1 /4 = 1/64

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