Exploring Conditional Probability in Geometry

This video tutorial covers conditional probability, focusing on how to calculate the probability of an event given another event has occurred. It includes examples such as determining the probability of a student being a junior in the art club, testing the independence of vehicle events, calculating concert attendance probability, and analyzing mobile phone purchase likelihood after searches. The tutorial emphasizes the importance of understanding conditional probability in real-world applications, such as marketing strategies.

What is the probability of selecting a junior from the art club?

• 8/29

• 16/58

• 3/17

• 1/12

What is the probability of a sophomore being in the drama club?

• 8/29

• 16/58

• 1/12

• 3/17

What is the probability that a member of the drama club is a sophomore?

• 3/17

• 8/29

• 16/58

• 1/12

Are the events of selecting a van and selecting a black vehicle independent?

• Yes, they are mutually exclusive.

• Cannot be determined.

• No, they are dependent.

• Yes, they are independent.

If a vehicle is a van, what is the likelihood it is also black?

• 3/22

• 1

• 3/17

• 3/13

Are the events of selecting a red vehicle and selecting a car independent?

• Cannot be determined.

• No, they are dependent.

• Yes, they are independent.

• Yes, they are mutually exclusive.

Which product has the highest probability of being purchased after a related search?

• Product W

• Product Y

• Product Z

• Product X

What is the probability that a surveyed student plans to attend the concert and is a fan?

• 80%

• 56%

• 70%

• 14%

What is the probability that a surveyed student plans to attend the concert but is not a fan?

• 14%

• 80%

• 56%

• 70%

Which desktop product is most likely to be purchased after a related search?

• Product L

• Product N

• Product K

• Product M