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Chapter 4: Problem 1

Define the following terms: experiment, outcome, sample space, simple event, and compound event.

Short Answer

Expert verified
An 'experiment' is a procedure or action with an uncertain outcome. An 'outcome' is a possible result of an experiment. 'Sample space' is the set of all possible outcomes of an experiment. A 'simple event' involves only one outcome. A 'compound event' involves two or more outcomes.

Step by step solution

01

Defining Experiment

In the field of probability theory and statistics, an 'experiment' refers to any procedure or action with an uncertain outcome where we can observe some random process, such as flipping a coin or rolling a die.
02

Defining Outcome

An 'outcome' refers to a possible result from an experiment. For instance, if flipping a coin is the experiment, the possible outcomes can be 'heads' or 'tails'.
03

Defining Sample Space

The 'sample space' of an experiment is the set of all possible outcomes. In the coin flipping experiment, the sample space would be {Heads, Tails}.
04

Defining Simple Event

A 'simple event' is an event in which only one outcome is observed from the sample space. In a coin flip, observing 'heads' can be an example of a simple event.
05

Defining Compound Event

A 'compound event' involves the combination of two or more simple events. For example, in rolling a die, an event that the outcome will be an odd number (1, 3 or 5) is a compound event as it includes multiple simple outcomes.

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Most popular questions from this chapter

A certain state's auto license plates have three letters of the alphabet followed by a three-digit number. a. How many different license plates are possible if all three-letter sequences are permitted and any number from 000 to 999 is allowed? b. Arnold witnessed a hit-and-run accident. He knows that the first letter on the license plate of the offender's car was a \(\mathrm{B}\), that the second letter was an \(\mathrm{O}\) or a \(\mathrm{Q}\), and that the last number was a 5. How many of this state's license plates fit this description?

The probability that an open-heart operation is successful is .84. What is the probability that in two randomly selected open-heart operations at least one will be successful? Draw a tree diagram for this experiment.

When is the following addition rule used to find the probability of the union of two events \(A\) and \(B\) ? $$P(A \text { or } B)=P(A)+P(B)$$ Give one example where you might use this formula.

Briefly explain the three approaches to probability. Give one example of each approach.

A man just bought 4 suits, 8 shirts, and 12 ties. All of these suits, shirts, and ties coordinate with each other. If he is to randomly select one suit, one shirt, and one tie to wear on a certain day, how many different outcomes (selections) are possible?
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