Simple Probability
Set probability
Drawing/Shading Venn Diagrams
Odds and Probability
Word Problems
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'
Everything but A
100
The odds of winning a game are 3:10 what are the odds of losing?
10:3
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 and find the probability that a student is wearing a hat but not a jacket
Hats only: 7/20
200
probability of pulling a king out of a card deck
What is 4/52
200
Given A={1,3,5,7}, B={1,2,3,4}. Find AUB
AUB ={1,3}
200
Given non-disjoint sets A and B, shade (A∩B)'
everything but the intersection of A and B
200
Given there is a 30% chance of rain tomorrow what is the odds that it will rain tomorrow?
30:70 = 3:7
200
There are 30 people on a city bus. 20 of them are going to work, 10 of them are wearing slacks but not going to work, and 5 of them are not going to work nor wearing slacks. Represent this in a Venn Diagram and find the probability that they are going to work and wearing slacks.
Work and Slacks: 5/30
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 = rolling an eight sided die,
and A={all even numbers},
Find A'.
What is {0,1,3,5,7}
300
Given non-disjoint sets A and B, shade (AUB)'
outer part of venn diagram
300
Given the probability of an event happening is 5/12 find the odds that the event does NOT happen
7:5
300
A badminton club has 31 playing members.
15 play only singles, 3 play only doubles and 13 play singles and doubles. Represent this as a Venn Diagram and find the probability a members plays doubles
Doubles: 16/31
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 A\B
{1,2,3,5,7,11}
400
Given non-disjoint sets A and B, shade A\B
only A without B
400
The odds of snow in the month of January are 5:1, find the probability it will snow in the month of January.
5/6
400
A survey of 45 farms showed that 21 grow crops, 23 have cattle, and 26 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 (sheep and cattle).
Only Animals 24/45
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
The odds you lose a game are 8:9, find the probability you win.
9/17
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