Simple Probability
Set probability
Shading Practice
Problem Solving
Drawing Venn Diagrams
100
probability of getting an even number when rolling one die
What is 0.5
100
Given A={1,2,5,7} and B={1,3,5,9}, find the intersection of A and B.
{1,5}
100
shade A∪A'
the universal set
100
Emma has 14 dogs. 3 have long hair and do NOT have brown hair. 6 are brown and do NOT have long hair. Two are brown and have long hair. How many dogs are neither brown nor have long hair.
3
100
20 students went to the park. 10 of them wore hats, 12 of them wore jackets, and 3 of them wore both. Represent this situation in a Venn Diagram.
Hats only: 7
Jackets only: 9
Middle: 3
Outside: 1
200
probability of pulling a king out of a card deck
What is 4/52
200
Find A={1,3,7}, B={3,11}, C={0,1,5}. Find A∩B∩C
{}
200
Given non-disjoint sets A and B, shade A∩B'
everything in A that is NOT in B
200
A platform diving squad of 25 has 18 members who dive from 10m and 17 who dive from 5m. How many dive from both platforms? Assume all members dive from at least one of the platforms.
10 members
200
There are 30 people on a city bus. 20 of them are going to work, 10 of them are wearing slacks, and 5 of them are neither going to work nor wearing slacks. Represent this in a Venn Diagram.
Only work: 15
Only slacks: 5
Work and Slacks: 5
Outside: 5
300
A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the theoretical probability of getting a blue marble.
8/20 = 2/5 = 0.4 or 40%
300
If U={x∈N,x≤8}, and A={all even numbers}, find A'.
What is {0,1,3,5,7}
300
shade (AUB)'
outer part of venn diagram
300
During a 2-week period, Murielle took her umbrella on 8 days. It rained on 9 days, and Murielle took her umbrella on five of the days it rained. Find the number of days that Murielle did not take her umbrella and it rained.
4.
300
A badminton club has 31 playing members. 28 play singles and 16 play doubles. Represent this as a Venn Diagram.
Only singles: 15
Only doubles: 3
Singles and doubles: 13
Outside: 0
400
Two fair 6-sided dice are rolled. What is the probability of rolling a sum of 6 or a sum of 8?
10/36 = 5/18
400
Given A={1,2,5,7} and B={3,5,7,11}, find AUB
{1,2,3,5,7,11}
400
Given sets A, B, and C shade A∪(B∩C)
All of A and the intersection of B and C
400
In a factory, 56 people work on the assembly line. 47 work day shifts and 29 work night shifts. How many people work both day and night shifts.
20
400
A survey of 21 farms showed that 15 grow crops, 9 have cattle, and and 11 have sheep. 4 have sheep and cattle, 7 have cattle and crops, and 8 have sheep and crops. 3 have cattle, sheep, and crop. Find the number of farms with only animals.
1+2+1=4
500
What is the probability of selecting an ace from a standard deck of cards, putting it aside, and selecting another ace?
4/52 * 3/51
12/2652
1/221 = 0.0045
500
In the Venn Diagram above, how many are in set A or B but not C?
28
500
Given sets A, B, and C shade (A∪B)∩C
the parts of A and B that also contain C
500
In a car club 13 members drive a manual, 15 drive a car with a sunroof, and 5 have manual cars with a sunroof, and 4 have neither. Find the number of members in the club.
27.
500
A bouquet shop is arranging 40 bouquets with red, yellow, and purple flowers. 10 bouquets are using all three colors, 15 are using red and yellow, 11 are using red and purple, and 12 are using yellow and purple. There are 31 with red flowers and 21 with yellow flowers. Find the probability that a randomly selected bouquet has only purple flowers.
40-(10+1+2+5+15+4)=3
P(X)=3/40