Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
What does the multiplication theorem of probability state?
What does the multiplication theorem of probability state?
- The intersection of two events is equal to the sum of their individual probabilities.
- The probability of two dependent events is equal to the sum of their individual probabilities.
- The probability of two independent events is equal to the product of their individual probabilities. (correct)
- The probability of two mutually exclusive events is equal to the product of their individual probabilities.
How is conditional probability defined?
How is conditional probability defined?
- The probability of event A occurring after event B has occurred.
- The probability of event A and B occurring simultaneously.
- The probability of event B occurring after event A has occurred. (correct)
- The probability of event A and event B being mutually exclusive.
In the scenario with tickets numbered 1 to 30, what is the probability of selecting a ticket that is neither a multiple of five nor three?
In the scenario with tickets numbered 1 to 30, what is the probability of selecting a ticket that is neither a multiple of five nor three?
- $\frac{3}{5}$
- $\frac{5}{6}$
- $\frac{4}{5}$
- $\frac{2}{3}$ (correct)
In a city where 20% read newspaper A, 16% read newspaper B, and 14% read newspaper C, what is the probability of reading at least one newspaper?
In a city where 20% read newspaper A, 16% read newspaper B, and 14% read newspaper C, what is the probability of reading at least one newspaper?
Signup and view all the answers
If events A and B are independent, what can be said about the probability of their intersection?
If events A and B are independent, what can be said about the probability of their intersection?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
- Conditional probability is defined as the probability of event B occurring after event A has occurred, denoted as P(B|A), calculated as the probability of the intersection of B and A divided by the probability of A.
- The multiplication theorem of probability states that if events A and B have probabilities greater than 0, the probability of their intersection is equal to the product of their individual probabilities.
- When calculating the probability of reading at least one newspaper in a city where 20% read A, 16% read B, and 14% read C, along with overlapping readerships, the percentage is found to be 35%.
- In another scenario where one ticket is randomly selected from tickets numbered 1 to 30, the probability of selecting a ticket that is a multiple of five or three is calculated to be 1/3 and 7/15 respectively.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
