Definitions
Permutation/
Combinations
Combinations
Addition Rules
Multiplication Rules
Venn Diagrams
100
Probability
Likelihood of something happening
100
6 P 4
360
100
Two rules of addition
Mutually Exclusive
Not Mutually Exclusive
100
Two rules of multiplication
Dependent
Independent
100
True or False
Venn Diagrams always have an intersection
False
200
Sample Space
Set of possible outcomes of a random experiment or event
200
Double the result of 10 C 5
504
200
An automobile dealer decides to select a month for its annual sale. Find the probability that it will be September or October.
1/12 + 1/12 = 2/12 = 1/6
OR
0.17 (nearest hundredth) or (2 decimal places)
200
You roll a single die numbered from 1 to 6 twice. What is the probability of rolling a 6 the first time and an odd number the second?
1/12
OR
0.083 (nearest thousandth) or (3 decimal places)
200
P (Failed Chemistry Only)
21%
OR
0.21
300
Mutually Exclusive Events
two or more events that cannot occur at the same time
300
A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
1,081,575
300
At a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a manager.
8/15 + 2/15 = 10/15 = 2/3
OR
0.67 (nearest hundredth) or (2 decimal places)
300
In a math class, 75% of students pass the quiz (event Q). 60% of students use a print textbook (event T) and 40% use the e-book (event E).
Find the probability that a student uses the e-book AND passes the quiz
0.75 x 0.40 = 0.3
OR
75/100 x 40/100 = 3000/10,000 = 0.3
300
P (Failed Physics)
25%
OR
0.25
400
Dependent Events
The outcome of one event affects the probability of the other event.
In other words, one event must occur before another can occur.
400
From a group of 10 men and 12 women, how many committees of 5 men and 6 women can be formed
10 C 5 . 12 C 6 = 252 . 924
232, 848
400
In a certain town: 70% of households have Cable TV (event C) 55% of households have Netflix (event N) These figures include the fact that 42% of households subscribe to both.
Find the probability that a person subscribes to Cable TV or Netflix
0.70 + 0.55 - 0.42 = 0.83
OR
70% + 55% - 42% = 83%
400
The numbers 4 through 14 are placed in a bowel and drawn at random then replaced after being drawn. What is the probability of drawing the number 14 and then a number less than 12?
8/121
OR
0.07 (nearest hundredth) or (2 decimal places)
400
P (Failed Physics)'
HINT: COMPLEMENT
75%
OR
0.75
500
Venn Diagrams in Probability
a visual representation using overlapping circles to illustrate the relationships between different events
500
An arrangement of letters in the word isosceles
9!/3!2! =
30, 240
500
A recent study of 200 nurses found that of 125 female nurses, 56 had bachelor’s degrees; and of 75 male nurses, 34 had bachelor’s degrees. If a nurse is selected at random, find the probability that the nurse is a female nurse with a bachelor’s degree
125/200 + 90/200 = 159/200
OR
0.795 (nearest hundredth) or (3 decimal places)
500
A jar contains 8 green marbles and 4 red marbles. Two marbles are randomly drawn, one at a time without replacement.
Find the probability of drawing a green marble followed by another green marble.
8/12 x 7/12 = 56/144 = 7/18
OR
0.39 (nearest hundredth) or (2 decimal places)
500
P Failed Chemistry U Failed Physics)'
HINT: COMPLEMENT
54%
OR
0.54