1. A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser operates such that one penny delivers 1 gumball. Using three pennies, what is the probability of obtaining 3 gumballs in the order of orange, purple, orange? Using one penny, what is the probability of obtaining 1 gumball that is either purple or yellow? Using three pennies, what is the probability that of the 3 gumballs obtained, exactly 1 will be purple and 1 will be yellow?
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.
1. A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser operates such that one penny delivers 1 gumball.
- Using three pennies, what is the probability of obtaining 3 gumballs in the order of orange, purple, orange?
- Using one penny, what is the probability of obtaining 1 gumball that is either purple or yellow?
- Using three pennies, what is the probability that of the 3 gumballs obtained, exactly 1 will be purple and 1 will be yellow?
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