In a bouquet, there are 4 roses, 4 daisies, and 4 lilies, which are either white or red as summarized in Table below. 22 points red white total rose 1 4 daisy lily 1 4 2 4 total 6 12 a. Illustrate above information in a tree diagram b. How many different samples are there of size 3 that contain exactly 1 rose, 1 lily, and 1 daisy?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Answer all the questions.

In a bouquet, there are 4 roses, 4 daisies, and 4 lilies, which are either white or red as
summarized in Table below. 22 points
red
white
total
rose
1
daisy
lily
1
4
2
4
total
12
a. Illustrate above information in a tree diagram
b. How many different samples are there of size 3 that contain exactly 1 rose, 1 lily, and 1 daisy?
How many different groups of 3 roses can be sampled out from the bouquet? (2 points)
d. What is the probability that exactly 1 rose, 1 lily, and 1 daisy are selected in the sample? (2 points)
e. What is the probability that exactly 3 roses will be selected?
f. What is the probability that I get one rose?
g. What is the probability that I get a rose that is red?
h. What is the probability that I get a red flower given that it is a rose?
What is the probability that I get a red rose and red lily?
What is the probability that I get any red flower?"
С.
i.
j.
) What probability rule may I use to
calculate this?
k. What is the probability that I get a red rose first, a red lily next, and a red daisy last?
I What
probability rule may I use to calculate this?'
Transcribed Image Text:In a bouquet, there are 4 roses, 4 daisies, and 4 lilies, which are either white or red as summarized in Table below. 22 points red white total rose 1 daisy lily 1 4 2 4 total 12 a. Illustrate above information in a tree diagram b. How many different samples are there of size 3 that contain exactly 1 rose, 1 lily, and 1 daisy? How many different groups of 3 roses can be sampled out from the bouquet? (2 points) d. What is the probability that exactly 1 rose, 1 lily, and 1 daisy are selected in the sample? (2 points) e. What is the probability that exactly 3 roses will be selected? f. What is the probability that I get one rose? g. What is the probability that I get a rose that is red? h. What is the probability that I get a red flower given that it is a rose? What is the probability that I get a red rose and red lily? What is the probability that I get any red flower?" С. i. j. ) What probability rule may I use to calculate this? k. What is the probability that I get a red rose first, a red lily next, and a red daisy last? I What probability rule may I use to calculate this?'
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