In the high-school courtyard, a memorial garden will be planted to commemorate those students who graduated and served in the military. A local nursery donated 2 cartons of plants. One carton contains 4 palms, 4 birds of paradise, and 2 plumbagos. The other box contains 5 palms and 3 birds of paradise. If Jasmine chooses one plant from each box at random, what is the probability that both plants will be birds of paradise? Express your answer as a fraction in lowest terms.