SOLUTION: 2) A nursery advertises that it has 16 elm trees for sale. Unknown to the nursery, 5 of the trees have already been infected with Dutch elm disease and will die within a year. (Hin

Algebra ->  Probability-and-statistics -> SOLUTION: 2) A nursery advertises that it has 16 elm trees for sale. Unknown to the nursery, 5 of the trees have already been infected with Dutch elm disease and will die within a year. (Hin      Log On


   

Question 849823: 2) A nursery advertises that it has 16 elm trees for sale. Unknown to the nursery, 5 of the trees have already been infected with Dutch elm disease and will die within a year. (Hint: The buying of trees is done without replacement.)
a) If a buyer purchases three trees, what is the probability that all three trees will be healthy?



b) What is the probability that at least one of the trees is infected?
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
A nursery advertises that it has 16 elm trees for sale. Unknown to the nursery, 5 of the trees have already been infected with Dutch elm disease and will die within a year. (Hint: The buying of trees is done without replacement.)
a)If a buyer purchases three trees, what is the probability that all three trees will be healthy?
probability = = highlight%280.2946%29
b) What is the probability that at least one of the trees is infected?
Subtract the probability in letter "a" from 1, the result is
1 - 0.2946 = highlight%280.7054%29