Assume that for events A and B we have the following: P(A) = .40, P(B|A) = .20, and P(B) = .30. Find P(A or B).
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
- Assume that for events A and B we have the following:
P(A) = .40, P(B|A) = .20, and P(B) = .30.
Find P(A or B).
- Using only the rules of probability that we have learned so far, directly calculate the probabilities for each of the five possibilities that we saw in Problem 2. That is, do not simulate these, but directly calculate and show all of your work.
- P(You first card turned over is “5”) – you win $100
- P(Your second card turned over is “5”) – you win $50
- P(Your third card turned over is “5”) – you win $20
- P(Your fourth card turned over is “5”) – you win $10
- P(Your fifth card turned over is “5”) – you win $5
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