Question

You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot). If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

Answer 1

1/197136

Explanation:

If there would be one pot and one plant the possibility would be 1 to take it.

It there were 2 plants and 1 pot it would be 1/2*1 = 1/2

If there were 2 plants and 2 pots it would be 1/2*2 = 1/4

With 444 plants and 444 pots it is 1/444*444 = 1/197136

Answer 2

There are 4×4 = 16 different combinations of plant and pot. Of those, 7 are either clay pot or cactus. Thus the probability you won't get a clay pot or a cactuis is 9/16.