A. Use the counting principle to determine the number of elements in the sample space. Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, and 6. B. Use the counting principle to determine the number of elements in the sample space. Two digits are selected with replacement from the digits 1, 2, 3, 4, 5,and 6. C. Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-choice test consisting of 18questions, with each question having four possible answers (a, b, c, or d). D. Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a true-false examination consisting of 22 questions.

A. Use the counting principle to determine the number of elements in the sample space. Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, and 6. B. Use the counting principle to determine the number of elements in the sample space. Two digits are selected with replacement from the digits 1, 2, 3, 4, 5,and 6. C. Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-choice test consisting of 18questions, with each question having four possible answers (a, b, c, or d). D. Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a true-false examination consisting of 22 questions.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

A. Use the counting principle to determine the number of elements in the sample space.

Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, and 6.

B. Use the counting principle to determine the number of elements in the sample space.

Two digits are selected with replacement from the digits 1, 2, 3, 4, 5,and 6.

C. Use the counting principle to determine the number of elements in the sample space.

The possible ways to complete a multiple-choice test consisting of 18questions, with each question having four possible answers (a, b, c, or d).

D. Use the counting principle to determine the number of elements in the sample space.

The possible ways to complete a true-false examination consisting of 22 questions.

Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.

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