An urn contains 30 red and 40 blue balls. Two are chosen at random, one after the other, without replacement. a) Use a tree diagram to help calculate the following probabilities: The probability that both balls are red, the probability that the first ball is red and the second is not, the probability that the first ball is not red and the second is red, the probability that neither ball is red. b) What is the probability that the second ball is red? c) What is the probability that at least one of the balls is red?
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.
An urn contains 30 red and 40 blue balls. Two are chosen at random, one after the other, without replacement.
a) Use a tree diagram to help calculate the following probabilities: The probability that both balls are red, the probability that the first ball is red and the second is not, the probability that the first ball is not red and the second is red, the probability that neither ball is red.
b) What is the probability that the second ball is red?
c) What is the probability that at least one of the balls is red?
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