A box contains four red and three blue poker chips. Two poker chips are to be randomly selected, one at a time. (a). What is the probability that the two chips will be red if the selection is done with replacement? [i.e. P(red chip and red chip)] (b). What is the probability that the two chips will be red if the selection is done without replacement? (c). Assume the same chips are in the bag. Three chips are to be randomly selected, one at a time. What is the probability that the first chip will be blue, the second chip will be red, and the third chip will be red if the selection is done without replacement of the previous chips?
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.
A box contains four red and three blue poker chips. Two poker chips are to be randomly
selected, one at a time.
(a). What is the
replacement? [i.e. P(red chip and red chip)]
(b). What is the probability that the two chips will be red if the selection is done without
replacement?
(c). Assume the same chips are in the bag. Three chips are to be randomly selected, one at a time. What is the probability that the first chip will be blue, the second chip will be red, and the third chip will be red if the selection is
done without replacement of the previous chips?
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