A group of 200 students were asked whether they played soccer or basketball. Among the group, 140 said they played soccer, 30 said they played basketball and 20 said they played both soccer and basketball. (i) Calculate the probability that a student selected at random from the group plays soccer given that he plays basketball. (ii) Calculate the probability that a student selected at random from the group plays basketball given that he plays soccer. (iii) Calculate the probability that a student selected at random from the group plays soccer given that he plays one sport only.
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 group of 200 students were asked whether they played soccer or basketball. Among the group, 140 said they played soccer, 30 said they played basketball and 20 said they played both soccer and basketball.
(i) Calculate the
(ii) Calculate the probability that a student selected at random from the group plays basketball given that he plays soccer.
(iii) Calculate the probability that a student selected at random from the group plays soccer given that he plays one sport only.
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