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Probability: Quiz 10
Probability: Quiz 10
1) Students are asked whether they play football or rugby. The results are shown in the Venn diagram below.
a) How many individuals were asked?
b) How many individuals do not play or football?
c) How many individuals play rugby?
d) How many individuals play football?
e) How many individuals play rugby and football?
f) How many individuals play football and not rugby?
g) How many individuals play rugby and not football?
h) How many individuals do not play rugby?
i) How many individuals do not play football?
j) How many individuals play rugby or football?
Find the probability of the following events occurring.
k) Choosing an individual that plays rugby and football
l) Choosing an individual that does not play rugby or football
m) Choosing an individual that plays rugby
n) Choosing an individual that plays football
o) Choosing an individual that plays rugby and not football
p) Choosing an individual that plays rugby or football
2) a) Place the numbers 1-15 in the appropriate place in the Venn diagram below. Numbers 1 and 2 have been done for you.
b) How many individuals do not play or football?
c) How many individuals play rugby?
d) How many individuals play football?
e) How many individuals play rugby and football?
f) How many individuals play football and not rugby?
g) How many individuals play rugby and not football?
h) How many individuals do not play rugby?
i) How many individuals do not play football?
j) How many individuals play rugby or football?
Find the probability of the following events occurring.
k) Choosing an individual that plays rugby and football
l) Choosing an individual that does not play rugby or football
m) Choosing an individual that plays rugby
n) Choosing an individual that plays football
o) Choosing an individual that plays rugby and not football
p) Choosing an individual that plays rugby or football
2) a) Place the numbers 1-15 in the appropriate place in the Venn diagram below. Numbers 1 and 2 have been done for you.
I randomly select a number between 1 and 15. Find the probability that the number is:
b) A multiple of 2
c) A multiple of 3
d) Not a multiple of 2 or 3
e) A multiple of 2 or 3
f) A multiple of 2 and 3
g) A multiple of 3 and not a multiple of 2
h) A multiple of 2 and not 3
3) I ask 30 people whether they like apples and Kiwi. The outcomes were:
> 11 people like both apples and kiwis
> 20 people liked apples
> 6 people did not like apples and also did not like kiwis
a) Fill in the Venn diagram below
b) A multiple of 2
c) A multiple of 3
d) Not a multiple of 2 or 3
e) A multiple of 2 or 3
f) A multiple of 2 and 3
g) A multiple of 3 and not a multiple of 2
h) A multiple of 2 and not 3
3) I ask 30 people whether they like apples and Kiwi. The outcomes were:
> 11 people like both apples and kiwis
> 20 people liked apples
> 6 people did not like apples and also did not like kiwis
a) Fill in the Venn diagram below
Find the probability of the following events occurring:
b) Choosing an individual that likes apples
c) Choosing an individual that likes kiwis
d) Choosing an individual that likes apples and kiwis
e) Choosing an individual that likes apples and does not like kiwis
f) Choosing an individual that does not like kiwis
4) There are 60 students in a year.
a) Complete the Venn diagram below.
b) Choosing an individual that likes apples
c) Choosing an individual that likes kiwis
d) Choosing an individual that likes apples and kiwis
e) Choosing an individual that likes apples and does not like kiwis
f) Choosing an individual that does not like kiwis
4) There are 60 students in a year.
- 8 students do not take history or geography
- 10 students take geography and history
- 29 students take history
a) Complete the Venn diagram below.
b) A student is chosen at random. Find the probability that the student takes both history and geography
c) A student is chosen at random. Find the probability that the student takes history and not geography
d) A student is chosen at random. Find the probability that the student takes history
5) There are 50 individuals in a class. 32 of the individuals have been to Spain, 26 of the individuals have been to France and 5 of the individuals have not been to either.
a) Draw and compete and Venn diagram for the information above
b) Find the probability of randomly selecting an individual that has been to both France and Spain
c) Find the probability of randomly selecting an individual that has been to Spain and not France
6) I asked a group of people whether they liked margarita, peperoni and Hawaiian. The results are shown in the Venn diagram below.
c) A student is chosen at random. Find the probability that the student takes history and not geography
d) A student is chosen at random. Find the probability that the student takes history
5) There are 50 individuals in a class. 32 of the individuals have been to Spain, 26 of the individuals have been to France and 5 of the individuals have not been to either.
a) Draw and compete and Venn diagram for the information above
b) Find the probability of randomly selecting an individual that has been to both France and Spain
c) Find the probability of randomly selecting an individual that has been to Spain and not France
6) I asked a group of people whether they liked margarita, peperoni and Hawaiian. The results are shown in the Venn diagram below.
a) How many individuals were asked?
Use the Venn diagram above to work out the following probabilities:
b) Choosing an individual that likes all 3 pizzas
c) Choosing an individual that likes pepperoni
d) Choosing an individual that likes margherita
e) Choosing an individual that does not like margherita
f) Choosing an individual that likes pepperoni and Hawaiian
g) Choosing an individual that likes margherita and pepperoni
h) Choosing an individual that likes pepperoni and Hawaiian and does not like margherita
i) Choosing an individual that does not like any of the 3 pizzas
j) Choosing an individual that only likes exactly one pizza
k) Choosing an individual that likes at least one pizza
Use the Venn diagram above to work out the following probabilities:
b) Choosing an individual that likes all 3 pizzas
c) Choosing an individual that likes pepperoni
d) Choosing an individual that likes margherita
e) Choosing an individual that does not like margherita
f) Choosing an individual that likes pepperoni and Hawaiian
g) Choosing an individual that likes margherita and pepperoni
h) Choosing an individual that likes pepperoni and Hawaiian and does not like margherita
i) Choosing an individual that does not like any of the 3 pizzas
j) Choosing an individual that only likes exactly one pizza
k) Choosing an individual that likes at least one pizza