(b) How many people enjoy football and hockey but not rugby?
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Question 3
3.
(c) How many people enjoy football or rugby?
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Question 4
4.
There are 80 students in the Junior class at Hoffman High School.
9 students study French and German.
35 students only study French.
2 students do not study French nor German.
Draw a Venn Diagram to show the data of this sample:
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Question 5
5.
How many students study only German?
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Question 6
6.
How many students study at least 1 language?
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Question 7
7.
What is the probability that a randomly selected student studies both French and German?
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Question 8
8.
A gym runs 2 fitness classes, spin and circuits.
On Saturday, 100 people visited the gym.
18 people attended spin class.
10 people attended both classes.
58 people did not attend either class.
Draw a representation of this in a Venn Diagram:
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Question 9
9.
What is the probability that a randomly selected person attended only circut class?
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Question 10
10.
What is the probability that a randomly selected person attended exactly 1 class?
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Question 11
11.
What is the probability that a randomly selected person attended spin class, given that they attended circut class?
Research 'conditional probability' to help you with this if you are stuck!
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Question 12
12.
Callaghan High School has 1,200 students.
1,000 students at Callaghan High School got a Covid vaccine,
100 students at Callaghan High School got Covid,
and 2 students were in both groups.
Draw a Venn Diagram of the situation:
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Question 13
13.
What is the probability that a randomly selected student from Callaghan High School got Covid?
Optional: See this video for extra help about Probability when looking at your Venn Diagram https://www.youtube.com/watch?v=pRoHVTJcMLY
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Question 14
14.
Given that the student got the Covid vaccine, what is the probability that a randomly selected student from Callaghan High School got Covid?
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Question 15
15.
Given that the student got Covid, what is the probability that a randomly selected student got the vaccine?
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Question 16
16.
A random sample of 100 US schools gives us the following information:
14 are overcrowded,
52 have the majority of students on a free lunch program,
and 13 are both.
Draw a Venn Diagram of the situation:
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Question 17
17.
What is the probability that a randomly selected school is not overcrowded?
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Question 18
18.
Given that the selected school is overcrowded, what is the probability that the majority of students are on the free lunch program?
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Question 19
19.
Given that the majority of students are on the free lunch program, what is the probability that the school is overcrowded?
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Question 20
20.
Use online resources and describe in words what P(A|B) means: (You can look here as well: https://www.khanacademy.org/math/statistics-probability/probability-library/conditional-probability-independence/v/calculating-conditional-probability)
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Question 21
21.
Use online resources and describe in words what P(B|A) means:
