A survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football players, 16% are basketball players, and 9% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?
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 survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football players, 16% are basketball players, and 9% of the athletes play both football and basketball.
An athlete is chosen at random from the high school: what is the
Let F be the athletes who are football players.
Let B be the athletes who are basketball players.
It is given that 9% of the athletes play both football and basketball.
Step by step
Solved in 2 steps