Question 1120628
<br>
The number of ways of selecting 10 plants with 3 tall and colorful, 2 tall and colorless, 3 short and colorful, and 2 short and colorless is given by the multinomial coefficient<br>
{{{(10!)/((3!)(2!)(3!)(2!)) = 25200}}}<br>
The probability of any one of those combinations is<br>
{{{((5/16)^3)*((4/16)^2)*((1/16)^3)*((6/16)^2)}}}<br>
The overall probability of selecting that number of the different kinds of plants is the product of those two numbers, which to a few decimal places is 0.00165.