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:
Question 5
5.
Question 6
6.
Question 7
7.
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:
Question 9
9.
Question 10
10.
Question 11
11.
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:
Question 13
13.
Question 14
14.
Question 15
15.
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:
Question 17
17.
Question 18
18.
Question 19
19.
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)
Question 21
21.
Use online resources and describe in words what P(B|A) means:
Question 22
22.
Question 23
23.
Question 1
1.
Question 2
2.
Question 3
3.
How many students study only German?
9
34
78
43
How many students study at least 1 language?
34
35
69
78
What is the probability that a randomly selected student studies both French and German?
9/80
9/78
9/100
78/80
What is the probability that a randomly selected person attended only circut class?
26/44
24/100
34/44
34/100
What is the probability that a randomly selected person attended exactly 1 class?
8/100
26/100
10/100
32/100
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!
10/34
10/26
10/100
36/100
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
100/1200
100/1000
1000/1200
2/1000
Given that the student got the Covid vaccine, what is the probability that a randomly selected student from Callaghan High School got Covid?
2/100
2/1000
2/1200
100/1200
Given that the student got Covid, what is the probability that a randomly selected student got the vaccine?
2/100
2/1000
2/1200
100/1200
What is the probability that a randomly selected school is not overcrowded?
14/100
48/100
52/100
86/100
Given that the selected school is overcrowded, what is the probability that the majority of students are on the free lunch program?
13
13/52
13/14
13/100
Given that the majority of students are on the free lunch program, what is the probability that the school is overcrowded?
13
13/52
13/14
13/100
OPTIONAL: Solve the following probability
1/2
9/10
1/4
2/5
OPTIONAL: Solve the following probability
9/10
9/50
3/50
3/10
(a) How many people enjoyed all three sports?
1
12
31
80
(b) How many people enjoy football and hockey but not rugby?
