Introduction to Probability by David Spade, PhD

About the Lecture

The lecture Introduction to Probability by David Spade, PhD is from the course Statistics Part 1. It contains the following chapters:

Introduction to Probability
Modeling Probability
The Complement Rule
Independent Events
Probability Pitfalls

Included Quiz Questions

What is a property of a random phenomenon?

In a random phenomenon, the possible outcomes of a trial are known, but it is unknown what will happen on any particular trial.
In a random phenomenon, it is known what will happen on any given trial.
In a random phenomenon, the possible outcomes of a trial are unknown.
In a random phenomenon, the possible outcomes of a trial are known, and it is also known what will happen on each trial.
In a random phenomenon, it is known what will happen in only one of the many given trials.

What is NOT true about the Law of Large Numbers?

If an event A has probability 0.9, and it has not occurred in the first 10 trials of a random phenomenon, it is sure to occur on the 11th.
In order for the Law of Large Numbers to apply, each trial must be carried out independently.
If we repeat a random phenomenon over and over again, the relative frequency of the occurrence of a particular outcome or event settles around the probability of an event.
The Law of Large Numbers applies only to long-run relative frequencies.
The Law of Large Numbers does not apply to short-run relative frequencies.

What is not true about probability?

If A and B are two events, then P (A) + P (B) must be smaller than 1.
If the probability of an event is 0, the event never occurs.
If the probability of an event is 1, the event always occurs.
If S is the sample space, then P ( S ) = 1.
If the probability of an event is 0.5, the event sometimes occurs.

Suppose A, B, and C are events such that P (A) = 0. 1, P(B) = 0.2 and P(C) = 0.5. Suppose also that A, B and C are disjoint events. What is the probability that none of them happens?

The probability that none of these events happens is 0.2.
The probability that none of these events happens is 0.8.
The probability that none of these events happens is 0.
The probability that none of these events happens is 1.
The probability that none of these events happens is 0.4.

Let A and B be two events. What is NOT something that can be done using the rules of probability?

If A and B are disjoint events, the probability that both of them will occur can be found by multiplying P(A) and P(B).
If A and B are independent, the probability that both will occur can be found by multiplying P(A) and P(B).
If A and B are disjoint events, the probability that one of them will occur can be found by adding P(A) and P(B).
The P(A) and P(B) must have a value between 0 and 1.

What CANNOT be a probability?

What is the probability that a person would live forever?

What is the probability that a person would NEVER live forever?

What is the probability of getting a 1 when a 6-sided dice is thrown?