10. In a survey of 200 MDM4U students, the following information was found: 68 enjoy crosswords, 97 enjoy baking, 71 enjoy acting, 20 enjoy acting and crosswords, 29 enjoy acting and baking, 23 enjoy baking and crosswords, 28 do not enjoy any of those three activities. Explaining any calculations, a. How many people enjoy all three activities?
10. In a survey of 200 MDM4U students, the following information was found: 68 enjoy crosswords, 97 enjoy baking, 71 enjoy acting, 20 enjoy acting and crosswords, 29 enjoy acting and baking, 23 enjoy baking and crosswords, 28 do not enjoy any of those three activities. Explaining any calculations, a. How many people enjoy all three activities?
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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Transcribed Image Text:10. In a survey of 200 MDM4U students, the following information was found:
68 enjoy crosswords,
97 enjoy baking,
71 enjoy acting,
20 enjoy acting and crosswords,
29 enjoy acting and baking,
23 enjoy baking and crosswords,
28 do not enjoy any of those three activities.
Explaining any calculations,
a. How many people enjoy all three activities?
b. How many people enjoy only acting?
c. How many people enjoy only baking?
d. Create a Venn diagram that depicts the number of students who enjoy
the activities. You may draw your diagram and scan or photograph it,
you may create it electronically, or if you are unable to complete this
activity visually, you may describe the components of the diagram in
detail.
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Step 1: Given information:
VIEWStep 2: To find number of people who enjoy all three activities.
VIEWStep 3: Calculation for Number of people enjoy only acting
VIEWStep 4: Calculation for Number of people enjoy only baking
VIEWStep 5: Venn diagram representation of the people enjoying activities
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Follow-up Question

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Ans:
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2) Chris (they/them) is planning a meal for a party. The meal will include an
appetizer, a main course, and dessert. They have three choices for an appetizer
(Artichoke, Bruschetta, or Caviar), two choices for a main course (Drumsticks or
Eggplant), and three choices for dessert (Fritter, Gelato, or Hot chocolate).
5
Ans: 3(appetizers) X2(main courses)X3(desserts) = 18 meals
= 18 meals
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A. Create a tree diagram that depicts all possible options for Chris' meal. You
may create your diagram on the computer, or draw it on paper using a ruler
and dark pen and then insert a clear photograph or scan into your
assignment submission?
B. How many different meals are possible?
C. How many different meals are possible if Chris cannot serve Eggplant and
Fritter together? Explain your answer.
D. How many different meals are possible if Chris must serve at least one of
Artichoke, Eggplant, and Hot chocolate? Explain your answer.
3)A teacher is creating a test from a question bank. If question 1 can be chosen
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Solution
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