i.
To make a tree diagram to show all the different possible outcomes.
i.
Answer to Problem 16E
The tree diagram with the possible outcomes can be drawn as:
Explanation of Solution
Given:
The table provided in the question is:
Class | Days offered |
Painting | M, T, W, Th |
Sculpture | T, W |
Painting class is on Monday, Tuesday, Wednesday and Thursday.
Sculpture class is on Tuesday and Wednesday.
There can be only one Painting and one Sculpture class per week.
Calculation:
The tree diagram with the possible outcomes can be drawn as:
ii.
To find different possible schedules for the two classes.
ii.
Answer to Problem 16E
There are total of
Explanation of Solution
Given:
The table provided in the question is:
Class | Days offered |
Painting | M, T, W, Th |
Sculpture | T, W |
Painting class is on Monday, Tuesday, Wednesday and Thursday.
Sculpture class is on Tuesday and Wednesday.
There can be only one Painting and one Sculpture class per week.
Calculation:
The tree diagram with the possible outcomes can be drawn as:
As conclude from the tree diagram there are total of
Hence,
There are total of
iii.
To find the probability.
iii.
Answer to Problem 16E
There are
Explanation of Solution
Given:
The table provided in the question is:
Class | Days offered |
Painting | M, T, W, Th |
Sculpture | T, W |
Painting class is on Monday, Tuesday, Wednesday and Thursday.
Sculpture class is on Tuesday and Wednesday.
There can be only one Painting and one Sculpture class per week.
Formula used:
Calculation:
The tree diagram with the possible outcomes is shown as:
As from the tree diagram total number of outcomes is
Chances of Sculpture class schedule on Tuesday from all the outcomes is
Therefore,
Hence,
Probability of sculpture class in on Tuesday is
iv.
To explain the statement.
iv.
Answer to Problem 16E
It is better to make a tree diagram than to use the multiplication principle because a tree diagram is a simple way of representing a sequence of events and are useful in probability since they record all possible outcomes in a clear and uncomplicated manner and in a situation like this it is better to used tree diagram since it clearly shows the outcomes and eliminates the possibilities of the event occurring on the same day.
Explanation of Solution
Given:
The table provided in the question is:
Class | Days offered |
Painting | M, T, W, Th |
Sculpture | T, W |
Painting class is on Monday, Tuesday, Wednesday and Thursday.
Sculpture class is on Tuesday and Wednesday.
There can be only one Painting and one Sculpture class per week.
Calculation:
It is better to make a tree diagram than to use the multiplication principle because a tree diagram is a simple way of representing a sequence of events and are useful in probability since they record all possible outcomes in a clear and uncomplicated manner and in a situation like this it is better to used tree diagram since it clearly shows the outcomes and eliminates the possibilities of the event occurring on the same day.
Chapter 6 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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