the probability
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.
Of the 20 students interviewed, 9 took swimming, 10 took Taekwando and 12 took Piano lessons. Furthermore, 4 took both swimming and Taekwando, 5 took both swimming and piano, 6 took both piano and Taekwando, and 2 took all lessons. If one of them will be selected at random, what is the probability of selecting a student who
a. took either swimming or piano or Taekwando lessons
b. took both swimming and Taekwando but not a piano lesson
c. took neither swimming not Taekwando
d. did NOT take both swimming and piano lesson
e. took either swimming or piano but NOT Taekwando
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