Probability Rules and Concepts

This video tutorial covers lesson two on probability, focusing on the addition and multiplication rules. It explains the addition rule using a Venn diagram and provides examples to illustrate its application. The tutorial then introduces the multiplication rule, which deals with conditional probability, and demonstrates its use through examples. The lesson concludes with a summary of the key concepts covered.

What are the two key probability formulas discussed in this lesson?

• Subtraction rule and division rule

• Addition rule and multiplication rule

• Multiplication rule and division rule

• Addition rule and subtraction rule

In the addition rule, what does the intersection of two events represent?

• The probability of either event occurring

• The probability of one event occurring

• The probability of both events occurring

• The probability of neither event occurring

How can you find the probability of not A using the addition rule?

• By adding the probability of A to 1

• By subtracting the probability of A from 1

• By dividing the probability of A by 1

• By multiplying the probability of A by 1

What does the probability of not A union B mean?

• Neither A nor B occur

• Both A and B occur

• Only A occurs

• Either A does not occur or B occurs or both

What is the multiplication rule used for?

• Calculating the probability of complementary events

• Calculating the probability of independent events

• Calculating the probability of conditional events

• Calculating the probability of mutually exclusive events

In the spinner example, what is the probability of getting a sum of five given at least one three?

• 5/7

• 4/7

• 3/7

• 2/7

How do you find the probability of D given C using the multiplication rule?

• By multiplying the probability of C by the probability of D

• By dividing the probability of C by the probability of D

• By adding the probability of C and D

• By dividing the intersection of C and D by the probability of C

In the final example, how is the intersection of A and B found using the addition rule?

• By multiplying the probabilities of A and B

• By subtracting the union of A and B from the sum of probabilities of A and B

• By adding the probabilities of A and B

• By dividing the probabilities of A and B