A person applies for the post of manger in two firms ܣ and ܤ .He estimates that the probability of his being selected in firm ܣ is 0.75, being rejected in firm ܤ is 0.95, and being rejected in at least one of the firms is 0.55. Find the probability that he will be selected in at least one of the firms.
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.
(i) A person applies for the post of manger in two firms ܣ and ܤ .He estimates that the probability
of his being selected in firm ܣ is 0.75, being rejected in firm ܤ is 0.95, and being rejected in at
least one of the firms is 0.55. Find the probability that he will be selected in at least one of the
firms.
(ii) There are ten urns of which each of three contain 1 white and 8 black balls; each of other
three contains 9 white and 1 black balls, and of the remaining four each contains 5 white and 5
black balls. One of the urns is selected at random and a ball taken blindly from it and it turns out
to be white. What is the probability that an urn containing 1 white and 9 black balls was selected?
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