Question

A landscaper must plant one flower, one grass, and one

tree at each job site. She has 6 different kinds of flowers,
4 different kinds of grasses, and 9 different kinds of trees
from which to choose. Find the probability that the job
site owner correctly guesses the correct plants on the
finished job site. (Express your answer as a decimal
rounded to the nearest ten-thousandth.)

Answer 1

Answer:

The number of ways the landscaper can choose one flower, one grass, and one tree is given by the product of the number of choices for each type of plant:

$6\times4\times9=216$

Since the owner has to correctly guess all three plants, the probability of guessing correctly is:

$\frac{1}{216}$

Expressing this as a decimal rounded to the nearest ten-thousandth gives:

$0.0046$

Therefore, the probability that the job site owner correctly guesses the correct plants on the finished job site is approximately 0.0046.