MATH 1680 Statistics
Chapter 5 Probability
Section 5.1 | Study Guide,
Practice Questions &
Exam Review
|Guaranteed success|
, Long Run many repetitions of the simulation; the variability approaches a certain
value and there is less veriability
Probability the measure of the likelihood of a random phenomenon or chance
behavior occuring, where the word random suggests an unpredictable
result or outcome
Law of Large Numbers as the number of repetitions of a probability experiment increases, the
proportion with which a certain outcome is observed gets closer to the
probability of the outcome
Explain the meaning of the sentence, "in a random trials do not recall what hasd happened in the past and use those trails to
process, the trials are memoryless." make changes in what will happen in the future
for a family whose first four chilfren are grils, is the no
family more likely on the fifth child to have a boy?
Sample Space, S this concept in a probability experiment is the collection of all possible
outcomes for that experiment
Event any collection of outcomes from a probability experiment. it consists of
one or more outcomes
Outcome aka simple events which is denoted as e1
In probalbity, what is an experiment? any process with uncertain results tha can be repeated
Fair die a die where each possible outcome is equally likely
A probablility experiment consists of rolling a single A) e1 = "rolling an 1"
six-sdie fair die. A fair die is one in which each psosible e2 = "rolling a 2"
outcome is equally likley. For example, rolling a two is e3 = "rolling a 3"
just as likely as rolling a five e4 = "rolling a 4"
e5 = "rolling a 5"
A) Identify the outcomes (aka possible results) of the e6 = "rolling a 6"
probability experiment
B) Define the Sample Space, S. B) S = {1,2,3,4,5,6}
C) Define the event E+ "roll an even number."
C) E {2,4,6} ; three outcomes of this event
P(E) this means "the probability that event E occurs"
Chapter 5 Probability
Section 5.1 | Study Guide,
Practice Questions &
Exam Review
|Guaranteed success|
, Long Run many repetitions of the simulation; the variability approaches a certain
value and there is less veriability
Probability the measure of the likelihood of a random phenomenon or chance
behavior occuring, where the word random suggests an unpredictable
result or outcome
Law of Large Numbers as the number of repetitions of a probability experiment increases, the
proportion with which a certain outcome is observed gets closer to the
probability of the outcome
Explain the meaning of the sentence, "in a random trials do not recall what hasd happened in the past and use those trails to
process, the trials are memoryless." make changes in what will happen in the future
for a family whose first four chilfren are grils, is the no
family more likely on the fifth child to have a boy?
Sample Space, S this concept in a probability experiment is the collection of all possible
outcomes for that experiment
Event any collection of outcomes from a probability experiment. it consists of
one or more outcomes
Outcome aka simple events which is denoted as e1
In probalbity, what is an experiment? any process with uncertain results tha can be repeated
Fair die a die where each possible outcome is equally likely
A probablility experiment consists of rolling a single A) e1 = "rolling an 1"
six-sdie fair die. A fair die is one in which each psosible e2 = "rolling a 2"
outcome is equally likley. For example, rolling a two is e3 = "rolling a 3"
just as likely as rolling a five e4 = "rolling a 4"
e5 = "rolling a 5"
A) Identify the outcomes (aka possible results) of the e6 = "rolling a 6"
probability experiment
B) Define the Sample Space, S. B) S = {1,2,3,4,5,6}
C) Define the event E+ "roll an even number."
C) E {2,4,6} ; three outcomes of this event
P(E) this means "the probability that event E occurs"
