Question

Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning. A computer is used to randomly select a number from 1 to $4000 .$ Event $B$ is selecting a number less than $500 .$

Name: Problem 22, Chapter 3: Elementary Statistics: Picturing the World
Uploaded: 2020-10-15T14:29:37-08:00
Duration: 20 s
Channel: Yingtai Xiao
Description: Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning. A computer is used to randomly select a number from 1 to 4000 . Event B is selecting a number less than 500 .

   Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.
A computer is used to randomly select a number from 1 to $4000 .$ Event $B$ is selecting a number less than $500 .$

Elementary Statistics: Picturing the World

Ron Larson, Betsy… 6th Edition

Chapter 3, Problem 22

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Solved by Expert Yingtai Xiao

10/15/2020

Step 1

The event $B$ is selecting a number less than $500$. This means we are selecting a number from $1$ to $499$ inclusive. Show more…

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Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning. A computer is used to randomly select a number from 1 to $4000 .$ Event $B$ is selecting a number less than $500 .$

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Key Concepts

Simple vs Compound Event

A simple event is defined as an event that consists of exactly one outcome, while a compound event contains more than one outcome. Recognizing the difference between these types of events is important because it affects how probabilities are calculated and interpreted.

Sample Space

The sample space is the complete set of all possible outcomes in an experiment. It is essential in determining probabilities because it provides the basis from which specific events are measured.

Counting Outcomes

Counting outcomes involves determining the total number of valid outcomes that meet the conditions of an event. This method is fundamental in probability theory, where accurately identifying the number of outcomes is crucial for further analysis.

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