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 nine sixteenths​, three sixteenths​, three sixteenths​, and one sixteenth. In a multinomial​ experiment, if 10 plants are​ selected, find the probability that 5 will be tall and​ colorful, 2 will be tall and​ colorless, 2 will be short and​ colorful, and 1 will be short and colorless