General Mills is testing 12 new cereals for possible production. They are testing 3 oat cereals, 4 wheat cereals, and 5 rice cereals. If each of the 12 cereals has the same chance of being produced, and 4 new cereals will be produced, determine the probability that the 4 new cereals that will be produced are as follows.

2 are oat cereals, 1 is a wheat cereal, and 1 is a rice cereal.