A couple just moved into a new home and needs to do some lan

A couple just moved into a new home and needs to do some landscaping. They are going to purchase one tree, one shrub, and on lilac bush from the list belwo, Use this list to answer parts (a) through (d)

a) Determine the number of points in the sample space. The number of points in teh sample space is ____________

b) If the couple randomly selects one of the combinations, determine the probability the couple selects a maple tree. The probability is ______. (Simplify your answer)

c) Find the probability that the couple selects a dogwood tree and a barberry shrub. The probability is_______. (Simplify your answer).

d) Find the probability that the couple selects a lilac bush other than Sensation. The probability is_______. (Simplify your answer)

Solution

a)the number of points in sample space= no of trees *no of shrubs *no of lilacs=3*3*2=18

b)total different trees= 3

Therefore maple tree selection probability=1/3=0.33

c)the number of chances to select a dogwood tree and barberry shrub=2

Hence probability=2/18=O.11

d)there are two types of lilacs

Probability of selecting a lilac other than sensation =1/2=0.5