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# Sample Space

In the example it states that each trial consists of three people being interviewed but the branches only branch of one yes and one no. How is this possible or what am I missing?

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mustish1
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1 Solution

Commented:
I'm not sure what you're trying to ask.

The graph seems self evident to me.

Given 3 trials, where each trial can be answered by either a "yes" or a "no",  the tree depicted, shows what the cumulative results would be across the three trials.
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Software DeveloperCommented:
Can you post "the example" description?

The picture clearly only denotes one answer. That could either be of one person or be the major answer of the three.

The picture clearly speaks of three trials, but only seeing the description AND picture gives a full picture to judge how consistent the problem description is.

That said have a look about the rules for discussing homework here on EE....

Bye, Olaf.
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Author Commented:
ClearWater Marketing Research Clearwater Marketing Research is involved in a project in which television viewers were asked whether they objected to hard-liquor advertisements being shown on television. The analyst is interested in listing the sample space. using a tree diagram as an aid. When three viewers are interviewed. The following steps can be used.

Step 1 Define the experiment
Three people are interviewed and asked. "Would you object to hard-liquor advertisements on television?" Thus, the experiment consists of three trials.

Step 2 Define the outcomes for a single trial of the experiment.
The possible outcomes when one person in interviewed are

no
yes

Step 3 Define the sample space for three trials using a tree diagram:
Begin by determining the outcomes for a single trial. Illustrate these with tree branches beginning on the left side of the diagram.
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Commented:
The tree depicted is step 3.

What is the question?  What confuses you about it?
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Author Commented:
Trial one was interviewed by 3 people but has only 2 answers.
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Commented:
no,  each trial is one person.  reread Step 1

3 people so 3 trials.
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Author Commented:
so is 1 person a trial. and 3 trials means 3 peoples?
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Commented:
yes

Three people are interviewed ...Thus, the experiment consists of three trials.

It's not 3 questions per person (9 trials) it's one question per person.
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Author Commented:
why does it branch out for yes and no? are those potential answers.
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Commented:
yes, the "sample space"  is list of all possible outcomes
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Author Commented:
Thank You.
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Software DeveloperCommented:
Well, you have misunderstood the problem description when you said one trial consists of three people being interviewed

Three people are interviewed and asked. "Would you object to hard-liquor advertisements on television?" Thus, the experiment consists of three trials.

A trial is just interviewing one person, and an experiment consists of three trials, three persons asked. So the diagram shows the outcome of an experiment.

Bye, Olaf.
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