A botanist is studying two types of shrubs: azalea and boxwood. There are 9 beds of azalea and 4 beds of boxwood. Each bed of azalea has 5 plants 12 inches tall or taller and 11 plants shorter than 12 inches. Each bed of boxwood has 8 plants 12 inches tall or taller and 10 plants shorter than 12 inches. If one plant is picked at random from all the beds, what is the probability that it is a boxwood, given that it is 12 inches tall or taller?