Exploring Probability Rules: Multiplication and Addition

The video tutorial covers two basic rules of probability: the addition rule and the multiplication rule. It explains how to calculate the probability of events A or B, and A and B, using these rules. The tutorial also discusses conditional probability, independent events, and mutually exclusive events. A practical example involving course selection is used to illustrate these concepts, showing how to calculate the probability of enrolling in different courses and determining if events are independent or mutually exclusive.

What rule is used to calculate the probability of either event A or B occurring?

• Independent events rule

• Conditional probability rule

• Addition rule

• Multiplication rule

For mutually exclusive events, what is the probability of events A and B occurring together?

• Cannot be determined

• 0

• 1

• 0.5

What formula is always applicable, regardless of whether events are mutually exclusive?

• P(A) + P(B) - P(A and B)

• P(A) * P(B)

• P(A or B) = P(A) given P(B)

• P(A) + P(B)

What does the probability of A given B represent?

• The probability of B occurring if A occurs

• The probability of A or B occurring

• The probability of A occurring if B occurs

• The probability of A and B occurring together

How is the probability of A and B calculated for independent events?

• P(A) - P(B)

• P(A) + P(B)

• P(A) given P(B)

• P(A) * P(B)

What indicates that two events are independent?

• P(A) = P(B)

• P(A given B) = P(A)

• P(A and B) = 0

• P(A or B) = 1

What is the probability of Sarah enrolling in both algebra and biology courses?

• 0.4

• 0.7

• 0.28

• 0.12

What is the probability of Sarah enrolling in either an algebra or a biology course?

• 0.98

• 1

• 0.28

• 0.72

Are the events of Sarah enrolling in algebra and biology courses independent?

• Only if she enrolls in algebra first

• Yes

• Cannot be determined

• No

Are the events of Sarah enrolling in algebra and biology courses mutually exclusive?

• Only if she enrolls in biology first

• Cannot be determined

• No

• Yes