General Rules of Probability by David Spade, PhD

About the Lecture

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

General Rules of Probability
Contingency Tables
Conditional Probability
Using Tables and Venn Diagrams
General Multiplication Rule
Tree Diagrams
Bayes' Rule

Included Quiz Questions

Suppose A and B are events and we have P(A) = 0.6, P(B) = 0.3 and P(A∩B) = 0.1. What is the probability that both A and B occur?

The probability that both of these events occurs is 0.1.
The probability that both of these events occurs is 0.9.
The probability that both of these events occurs is 0.8.
The probability that both of these events occurs is 1.
The probability that both of these events occurs is 0.3.

If A and B are events such that P(A) = 0.6, P(B) = 0.3, and P(A∩B) = 0.1, then if it is known that B has occurred, what is the probability of A?

The probability of A given B is 0.33.
The probability of A given B is 0.18.
The probability of A given B is 0.1667.
The probability of A given B is 0.6.
The probability of A given B is 0.1.

If A and B are events such that P (A) = 0.4, P (B) = 0.2, and P (A|B) = 0.5, what is the probability that the events A and B occur together?

The probability of both of these events occurring is 0.1.
The probability of both of these events occurring is 0.6.
The probability of both of these events occurring is 0.5.
The probability of both of these events occurring is 0.35.
The probability of both of these events occurring is 0.2.

If A and B are events such that P (A) = 0.4, P (B) = 0.6, and P (A|B) = 0.5, then if we know A has occurred, what is the probability of B?

The probability of B given A is 0.75.
The probability of B given A is 0.5.
The probability of B given A is 0.25.
The probability of B given A is 0.6.
The probability of B given A is 0.4.

If A and B are events such that P (A) = 0.4, P (B|A) = 0.6. if we know that A has occurred, what is the probability of B?

0.6
0.5
0.4
0.25
0.2

Suppose A and B are events and we have P(A) = 0.8, P(B) = 0.2 and P(A∩B) = 0.5. What is the probability that at least one of the events A and B occur?

Suppose A and B are events and we have P(A) = 0.1, P(B) = 0.7 and P(A∩B) = 0.4. What is the probability that at least one of the events A and B occur?

Suppose P (A|B) = 0.5 and P (B) = 0.8. What is P (A∩B)?

Suppose P (A∩B)? = 0.3 and P (B) = 0.8. What is P (A|B)?