youve decided you want a plant for your room. at the gardening store, there are 4 different kinds of plants…

youve decided you want a plant for your room. at the gardening store, there are 4 different kinds of plants (tulip, fern, cactus, and ficus) and 4 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 wont get a clay pot or a cactus?

youve decided you want a plant for your room. at the gardening store, there are 4 different kinds of plants (tulip, fern, cactus, and ficus) and 4 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 wont get a clay pot or a cactus?

Answer

Explanation:

Step1: Calculate total combinations

The total number of ways to pick a plant and a pot is the product of the number of plants and pots. So, $4\times4 = 16$ combinations.

Step2: Calculate non - desired combinations

The number of non - desired combinations: Plants: There are 4 plants and we want to exclude cactus (1 plant), so there are 3 non - cactus plants. Pots: There are 4 pots and we want to exclude clay pot (1 pot), so there are 3 non - clay pots. The number of combinations of non - cactus plants and non - clay pots is $3\times3=9$.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the number of total outcomes. So, $P=\frac{9}{16}$.

Answer:

$\frac{9}{16}$