Beacon Hill Trees Shrubs currently has an inventory of 10 f

Beacon Hill Trees & Shrubs currently has an inventory of 10 fruit trees, 8 pine trees, and 14 maple trees. It plans to give 4 trees away at next Saturday\'s lawn and garden show in the city park. The 4 winners can select which type of tree they want. Assume they select randomly.
What is the probability that no fruit trees and 2 of each of the others will be selected?

A. 0.0355

B. 0.0058

C. 0.0218

D. 0.0709

Solution

There are 32C4 ways to choose any 4, and there are (8C2)(14C2) ways to choose 2 maple and 2 pine trees.

Thus,

P = [(8C2)(14C2)]/[32C4] = 0.070856507 [ANSWER, D]