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Automobile Trips There are 2 major roads from city $X$ to city $Y$ and 4 major roads from city $Y$ to city $Z .$ How many different trips can be made from city $X$ to city $Z,$ passing through city $Y ?$
Intro Stats / AP Statistics
Chapter 4
Probability and Counting Rules
Section 4
Counting Rules
Sampling and Data
Probability Topics
University of North Carolina at Chapel Hill
Cairn University
Idaho State University
Boston College
Lectures
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Solve each problem using t…
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Solve each counting proble…
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In a certain city, avenues…
00:42
When an airline links $n$ …
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Use the diagram and the Mu…
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Traffic Flow A section of …
01:15
There are four major auto …
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Solve each problem. See Ex…
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REASONING You travel from …
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These problems involve dis…
So this problem is an application of the fundamental counting rule. According to this problem, there are three cities X Why and see There are two major roads from X to y four major roads from white to Z. You want to know the total number of different trips that can be made from X to Z If you are passing by C. D Y. Let's quickly review the fundamental counting room. Okay, so this rule says that if you have a sequence of any events and for the first event, there are case of one possibilities. Second event has case of two possibilities and so on where the end event has case of impossibilities. Then, according to this rule, the total number of possibilities of the sequence This came sub one times cases two and so on times case of in So for this particular problem, there are two major roads from X to y four major roads from white Z. So the total number of trips that you can make from X to Z passing through Why, according to this rule, is just going to be the product off two and four, so two times for which is eight. And there are eight different trips that you can make
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