Probability and Events Concepts

Mrs. Pure explains probabilities of disjoint and overlapping events, covering union and intersection concepts. She provides examples using colored chairs, dice, and a student survey to illustrate compound events and complements. The video concludes with a dice sum example, emphasizing practical applications of probability rules.

What is the union of two events A and B?

• The set of outcomes that are in neither A nor B.

• The set of outcomes that are only in B.

• The set of outcomes that are only in A.

• The set of outcomes that are in either A or B or both.

What is the intersection of two events A and B?

• The set of outcomes that are only in B.

• The set of outcomes that are in either A or B or both.

• The set of outcomes that are in both A and B.

• The set of outcomes that are only in A.

What are disjoint events?

• Events that have no outcomes in common.

• Events that are identical.

• Events that have some outcomes in common.

• Events that are subsets of each other.

If event A is all people in Algebra 2 and event B is all people not in Algebra 2, what type of events are A and B?

• Overlapping events

• Dependent events

• Disjoint events

• Independent events

How do you calculate the probability of A or B for any two events?

• P(A) + P(B)

• P(A) + P(B) - P(A and B)

• P(A) - P(B)

• P(A) * P(B)

What is the probability of A or B if A and B are disjoint events?

• P(A) + P(B)

• P(A) * P(B)

• P(A) + P(B) - P(A and B)

• P(A) - P(B)

In the chair example, what is the probability of picking a yellow or green chair?

• 1/2

• 1/4

• 1/6

• 1/3

In the die example, what is the probability of rolling an odd number or a number less than three?

• 1/6

• 1/2

• 1/3

• 2/3

In the survey example, what is the probability that a student likes both water parks and beaches?

• 15%

• 10%

• 20%

• 5%

What is the complement of an event A?

• The set of outcomes that are in A.

• The set of outcomes that are not in A.

• The set of outcomes that are in neither A nor B.

• The set of outcomes that are in both A and B.