Counting principle
Factorials
Venn Diagram
Probability Operations with Event
Addition and multiplication laws + concepts
100
An executive selecting her wardrobe purchased two blazers, four blouses, and two skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection?
16 Ensembles 2*4*2=16
100
What is the value of 5! ?
5*4*3*2*1 = 120
100
In the Prepa Tec welcome session for teachers, 250 teachers attended. If a teacher were to be randomly selected, find the probability of the selected teacher being a male
34%
100
The 250 fifth semester students have chosen to enroll in their last semester in only one course, from a list of three different selective courses, the results are shown below:
If one of the fifth semester students is chosen at random, determine the probability of the student:
Being a male.
49.20%
100
What does this symbol mean: "∩"
AND (Intersection)
200
The New Shanghai Restaurant offers a choice of four appetizers, five choices of soups, and twelve choices of entrees for its lunch special. How many different complete lunches can be ordered from the restaurant's lunch special menu?
240 different lunches
200
What is the value of 8! ?
8×7×6×5×4×3×2×1= 40,3208
200
In the Prepa Tec welcome session for teachers, 250 teachers attended. If a teacher were to be randomly selected, find the probability of the selected teacher being: A male or experienced
82%
200
If a die is thrown twice, find the probability of getting two 5's.
Independent events
Event A= 1/6 Event B=1/6
(AՈB)=P(A)*P(B)=1/6 * 1/6 = 1/36
200
What does this symbol mean: "U"
OR (Union)
300
A certain model of luxury car is offered with a choice of 16 exterior colors (10 metallic and 6 standard), 6 interior colors, and 3 trims. How many combinations involving color and trim are available for the model?
288 different combinations
300
What is the value of 5!/7!
7×6×5! / 5! = 42
300
In the Prepa Tec welcome session for teachers, 250 teachers attended. If a teacher were to be randomly selected, find the probability of the selected teacher being Not experienced
28%
300
The 250 fifth semester students have chosen to enroll in their last semester in only one course, from a list of three different selective courses, the results are shown below:
If one of the fifth semester students is chosen at random, determine the probability of the student:
Opting for an Engineering course given that is a female.
29.92%
300
What is the Law of Complimentation?
P(A^c)= 1-P(A)
400
A password is to be made from a string of five characters chosen from the lowercase letters of the alphabet and the numbers 0 through 9.
How many passwords are possible if there are no restrictions?
60,466,176 passwords
400
What is the valye of 8!/10! ?
10×9×8!/8!=90
400
In the Prepa Tec welcome session for teachers, 250 teachers attended. If a teacher were to be randomly selected, find the probability of a male given experienced
33.33%
400
The 250 fifth semester students have chosen to enroll in their last semester in only one course, from a list of three different selective courses, the results are shown below:
If one of the fifth semester students is chosen at random, determine the probability of the student:
Opting for an Engineering course and being a female.
15.20%
400
Is the following example an independent or a dependent event?
"Getting a "Head" when throwing a coin"
Independent
500
A psychologist has constructed the following maze for use in an experiment. The maze is constructed so that a rat must pass through a series of one-way doors.
How many different paths are there from start to finish?
A rat is shown at the start of a maze. The maze is divided into sections by three sets of door choices which each contain a different number of doors as follows.
- From the start of the maze the rat has a choice of two doors to get to the second section.
- From the second section the rat has a choice of four doors to get to the third section.
- From the third section the rat has a choice of three doors to get to the finish.
24 different paths
500
If x!=120, find the value of x.
5! =5×4×3×2×1=120
500
200 students were asked regarding the foreign language class they are enrolled in.
It was found that 118 take French, 78 German, 18 take both French and German.
Draw the Venn diagram. Label the sets
French Only:100
German Only:60
French and German:18
Neither:22
500
An urn contains 5 yellow, 2 purple and 3 red marbles. Find the probability of selecting a red, then a yellow marble (no replacement)
Event A (red first): 3/10
Event B (yellow second):5/9
3/10 * 5/9=16.67%
500
Is the following example an independent or a dependent event?
"Getting a 5 and then a 4 when rolling a die"
dependent