A Very Short Quiz Has One Multiple-Choice Question with Five

question 9

Short Answer

A very short quiz has one multiple-choice question with five possible choices (a, b, c, d, and e) and one true or false question. Assume you are taking the quiz but do not have any idea what the correct answer is to either question, but you mark an answer anyway.
a.What is the probability that you have given the correct answer to both questions?
b.What is the probability that only one of the two answers is correct?
c.What is the probability that neither answer is correct?
d.What is the probability that only your answer to the multiple-choice question is correct?
e.What is the probability that you have only answered the true or false question correctly?

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Definitions:

High Jumps

An athletic event in which competitors try to leap over a horizontally positioned bar at the highest possible height.

Quantitative Data

Numerical information that can be measured or counted, often used in statistical analysis to quantify the characteristics of a population or phenomena.

Histograms

A graphical representation of data using bars of different heights to depict the frequency distribution of a dataset.

Stemplots

A graphical representation of data that involves separating each data point into a "stem" and a "leaf" to display the distribution.