
Simple Probability and its Complement
Presentation
•
Mathematics
•
6th Grade
•
Medium
+10
Standards-aligned
Isabel Pawling
Used 1+ times
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11 Slides • 23 Questions
1
Simple Probability and its Complement
By Isabel Pawling
2
Open Ended
Review:
1. In your own words, what is probabilty?
2. Describe an event that is not likely (but not impossible).
3. Describe an event that is likely (but not certain).
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What is simple probability?
Simple Probability
Simple probability is the most basic form of probability.
Simple probability describes the likelihood of a single event happening when all possible outcomes are equally likely.
Probability can be described using a ratio (fraction), decimal or percent.
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How do we calculate simple probability?
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The probability of an event is calculated using the formula:
Favorable outcomes: the results you want, the desired outcome
Total outcomes: ALL the possible results (outcomes) that could happen
Note: Probability can be written as a fraction (in simplest form), a decimal or a percent.
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Example 1:
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Multiple Choice
7/12
5/10 or 1/2
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Multiple Choice
1
3/9 or 1/3
9
Multiple Choice
10
Example 2:
11
Multiple Choice
12
Multiple Choice
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Here are some more simple probability practice questions.
Remember to simplify your fractions!
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Multiple Choice
1/2
1/3,
2/3
1/5
15
Multiple Choice
0%
1/6
1/2
6/6
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Multiple Choice
0%
1/4
1/2
100%
17
Multiple Choice
1/5
4/5
2/3
0%
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Multiple Choice
2/9
5/9
1/9
7/9
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Multiple Choice
10 M&Ms are in a bag, 4 red, 2 blue, 1 green and 3 brown. What is the probability of pulling out a blue candy?
1
2/10
1/5
3/10
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Multiple Choice
You pick a marble from this bag.
What is the probability you will choose either a solid black or a solid white marble?
3/5
9/100
1/10
2/5
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Complement
In probability, what does the complement represent?
The complement of an event is “everything that does not happen.”
If an event is called A, then the complement of A means:
All the outcomes where A does NOT happen.
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P(odd) = probability the outcome is odd
What is the probability of rolling an odd number on a number cube?
P′(odd) = probability the outcome is NOT odd
What is the probability of NOT rolling an odd number on a number cube?
You can write the complement three different ways:
P′(odd) = P(odd′) = P(not odd)
In probability, the little prime symbol ′ (apostrophe) means “complement.”
How do we write the complement in probability?
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P(event) + P′(event) = 1
In probability ....
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Multiple Choice
What is a Complement in probability?
Saying "You look very nice today"
Probability of an event happening
Probability of an event NOT happening
An angle less than 90 degrees
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Multiple Choice
A bag of candy contains 2 red, 4 yellow, and 4 green candies.
Find: P(NOT red or yellow)
3/5
1/5
2/5
4/5
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Multiple Choice
P'(even) =
5/7
1/7
2/7
4/7
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Multiple Choice
There are 14 girls and 12 boys in a class.
P(boy') =
7/13
6/13
4/13
12/25
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Multiple Choice
Given the pie chart shown:
Find P'(hearts, dots, or stars) =
2 out of 3
3 out of 8
5 out of 8
1 out of 3
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Multiple Choice
A bag contains 5 quarters, 2 dimes, and 4 pennies. Find: P(Penny') =
5/11
5/6
1/3
7/11
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Open Ended
The probability that a 6th grade student will choose a non-fiction book while visiting the library is 2/5.
What does the fraction 3/5 represent in this situation?
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Open Ended
Why is probability useful in sports?
Can you think of a time when knowing chances helped a coach or player?
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Open Ended
Summarize this lesson in 2 to 3 sentences.
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Open Ended
Finally ....
What is P'(school closing on Monday) =
(If we have no school on Monday ... what will you do on your day off?)
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The End ... Well Done!!!
Simple Probability and its Complement
By Isabel Pawling
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