ADDITION & MULTIPLICATION PRINCIPLE
A company may offer 5 service packages or 3 product bundles. How many choices can customers make?
8
Which situation represents a permutation?
A. Selecting 3 students from a class to attend a seminar
B. Assigning President and Vice President in a club
C. Choosing 5 books to borrow
D. Choosing 2 subjects to enroll in
Assigning President and Vice President in a club
A company evaluates a job applicant.
Event A: Applicant passes the interview.
Event B: Applicant passes the written exam.
Are the events mutually exclusive?
NO
A product designer creates a circular badge using 5 distinct symbols arranged in a loop. How many different circular designs are possible?
24
A 2-digit password is created using the digits 5, 6, 7, and 8. Digits may repeat. How many different 2-digit passwords can be
16
A company chooses 4 investment projects from 10 proposals. How many possible selections are there?
210
A John and Jane submits a project.
Event A: Jane is submitted on time.
Event B: John is submitted late.
Are the events mutually exclusive?
YES
In physics modeling, a circular necklace represents 4 distinct particles arranged in a closed loop. How many different circular necklaces can be formed?
6
A die is rolled once. Which event represents getting an even number?
{2,4,6}
“A company chooses 3 applicants from 12 to join a marketing team.” What situation is being represented?
A. Permutation B. Combination C. Experiment D. Probability
Combination
A survey shows that the probability a customer pays in cash is 0.35. What is the probability that the customer does not pay in cash?
0.65
Find the number of different arrangements of the letters in “DEUTERONOMY”.
907,200
A laboratory uniform consists of 2 lab coats and 5 types of safety goggles. How many different uniforms are possible?
10
Why is selecting members for a committee a combination?
A. Because members are ranked
B. Because order is important
C. Because repetition is allowed
D. Because order does not matter
Because order does not matter
A card is drawn from a standard deck.
Event A: Drawing a heart, Event B: Drawing a spade.
What is P(A∪B)?
1/2
A pair of dice is tossed. List the elements in the following events: List the outcomes where the sum of two dice is less than 6 and find its probability.
(1,1),(1,2),(2,1),(1,3),(2,2),(3,1),(1,4),(2,3),(3,2),(4,1)
A company selects a payment method: Cash (C), Card (D), or Online (O). Which set represents the sample space?
S= {C, D, O}
How many ways can 3 chemicals be selected from 7 available chemicals for an experiment?
35
How many different arrangements are possible for the letters in the word “STATISTICS”?
151,200
List the outcomes where the sum of two dice is less than 6
Find its probability.
10/36 or 5/18