**Mr. and Mrs. Frank's Landscaping Choices**Mr. and Mrs. Frank just moved into a new home and need to do some landscaping. They are going to purchase one tree, one shrub, and one lilac bush at random from the list to the right. Use this list to complete parts a) through c).| Tree | Shrubs | Lilac Bushes ||-------|----------|--------------|| Oak (O) | Gold Mop (G) | Primrose (P) || Elm (E) | Holly (H) | Tinkerbelle (T)|| Birch (B) | | |### a) Determine the number of sample points in the sample space.- The number of points in the sample space is **18**.### b) Construct a tree diagram and determine the sample space.(The tree diagram is given but not visible in detail. It would show branching paths for each tree selection leading to each shrub selection, and then from each shrub selection to each lilac bush selection.)#### Determine the sample space. Choose the correct answer below:``` A. O, E, B, G, H, P, T B. GP, GT, HP, HT C. EHP, EHT, BGP, BGT, BHP, BHT D. OGP, OGT, OHP, OHT, EGP, EGT, EHP, EHT, BGP, BGT, BHP, BHT ``` - The correct answer is **D. OGP, OGT, OHP, OHT, EGP, EGT, EHP, EHT, BGP, BGT, BHP, BHT**.### c) Determine the probability that the Franks select a birch tree.- The probability is **1/3**. (Simplified answer)

TreeShrubsLilac BushesOak (O)Gold Mop (G)Primrose (P)Elm (E)Holly (H)Tinkerbelle (T)Birch (B)

Answered: Tree Mr. and Mrs. Frank just moved into…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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