5 Questions
What does the multiplication theorem of probability state?
The probability of two independent events is equal to the product of their individual probabilities.
How is conditional probability defined?
The probability of event B occurring after event A has occurred.
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?
$\frac{2}{3}$
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?
35%
If events A and B are independent, what can be said about the probability of their intersection?
It must be zero.
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.
Test your knowledge on conditional probability, the multiplication theorem of probability, and calculating probabilities in various scenarios such as overlapping readerships and selecting numbered tickets.
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