According to a theory in genetics, if tall and colorful plants are crossed with

Question

According to a theory in genetics, if tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless, with corresponding probabilities of five sixteenths , four sixteenths , one sixteenth , and six sixteenths . In a multinomial experiment, if 10 plants are selected, find the probability that 3 will be tall and colorful, 3 will be tall and colorless, 2 will be short and colorful, and 2 will be short and colorless.

Explanation / Answer

probability that 3 will be tall and colorful, 3 will be tall and colorless, 2 will be short and colorful, and 2 will be short and colorless=(10!/(3!*3!*2!*2!))*(5/16)3*(4/16)3*(1/16)2*(6/16)2=0.006601

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