Suppose that in a senior college class of 500 students, it is found that 210 play cricket, 258 play football, 216 play table tennis, 122 play cricket and football both, 83 play football and table tennis both, 97 play cricket and table tennis both, and 52 play all these sports. If a member of this class is selected at random. Find the probability that the student: a) Plays cricket but does not play football b) Plays football and table tennis but does not play cricket c) Neither plays cricket nor football
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.
Suppose that in a senior college class of 500 students, it is found that 210 play cricket, 258 play
football, 216 play table tennis, 122 play cricket and football both, 83 play football and table
tennis both, 97 play cricket and table tennis both, and 52 play all these sports. If a member of this
class is selected at random.
Find the
a) Plays cricket but does not play football
b) Plays football and table tennis but does not play cricket
c) Neither plays cricket nor football
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