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.
How many students study only German?
Question 6
6.
How many students study at least 1 language?
Question 7
7.
What is the probability that a randomly selected student studies both French and German?
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.
What is the probability that a randomly selected person attended only circut class?
Question 10
10.
What is the probability that a randomly selected person attended exactly 1 class?
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!
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.
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
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?
Question 15
15.
Given that the student got Covid, what is the probability that a randomly selected student got the vaccine?
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.
What is the probability that a randomly selected school is not overcrowded?
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?
Question 19
19.
Given that the majority of students are on the free lunch program, what is the probability that the school is overcrowded?
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.
OPTIONAL: Solve the following probability
Question 23
23.
OPTIONAL: Solve the following probability
Question 1
1.
(a) How many people enjoyed all three sports?
Question 2
2.
(b) How many people enjoy football and hockey but not rugby?
