A company makes pens called “Surprise Ink.” All of these pens look identical on the outside, but they contain ink that is one of the following colors: blue, red, green, or purple. A teacher has 16 of these pens: 2 purple, 6 blue, 5 red, and 3 green. The teacher is headed to a coffee shop to grade midterms, so he randomly grabs 4 of his “Surprise Ink” pens. a) What is the probability that he grabbed one pen of each color? Write a percent rounded to 1 decimal place. b) What is the probability that exactly 2 of the pens he grabbed are red? Write a percent rounded to 1 decimal place. c) What is the probability that at least 1 of the pens he grabbed are red? Write a percent rounded to 1 decimal place.
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 company makes pens called “Surprise Ink.” All of these pens look identical on the outside, but they contain ink that is one of the following colors: blue, red, green, or purple. A teacher has 16 of these pens: 2 purple, 6 blue, 5 red, and 3 green. The teacher is headed to a coffee shop to grade midterms, so he randomly grabs 4 of his “Surprise Ink” pens.
a) What is the probability that he grabbed one pen of each color?
Write a percent rounded to 1 decimal place.
b) What is the probability that exactly 2 of the pens he grabbed are red?
Write a percent rounded to 1 decimal place.
c) What is the probability that at least 1 of the pens he grabbed are red?
Write a percent rounded to 1 decimal place.
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