Sample Space & Combinations/Permutations
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This is the questions - "List the sample space for three individuals chosen @ random to vote either Democrat or Republican. List the distinct combinations and permutations"
These are what I got for my answers but I don't think my sample space is correct since it's asking for sample space for three individuals chosen, could some of you smart fellows help me out please?
Sample Space: {D,R}
Permutations: {D,D,D}, {R,R,R}, {D,R,D}, {D,D,R}, {R,D,D}, {R,R,D}, {D,R,R}, {R,D,R}
Combinations: {D,D,D}, {D,D,R}, {D,R,R}, {R,R,R}
What did I do wrong fellows? I feel something is amiss.
probability statistics
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add a comment |
$begingroup$
This is the questions - "List the sample space for three individuals chosen @ random to vote either Democrat or Republican. List the distinct combinations and permutations"
These are what I got for my answers but I don't think my sample space is correct since it's asking for sample space for three individuals chosen, could some of you smart fellows help me out please?
Sample Space: {D,R}
Permutations: {D,D,D}, {R,R,R}, {D,R,D}, {D,D,R}, {R,D,D}, {R,R,D}, {D,R,R}, {R,D,R}
Combinations: {D,D,D}, {D,D,R}, {D,R,R}, {R,R,R}
What did I do wrong fellows? I feel something is amiss.
probability statistics
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The permutations should be listed as ordered triples rather than sets.
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– N. F. Taussig
May 28 '18 at 13:01
add a comment |
$begingroup$
This is the questions - "List the sample space for three individuals chosen @ random to vote either Democrat or Republican. List the distinct combinations and permutations"
These are what I got for my answers but I don't think my sample space is correct since it's asking for sample space for three individuals chosen, could some of you smart fellows help me out please?
Sample Space: {D,R}
Permutations: {D,D,D}, {R,R,R}, {D,R,D}, {D,D,R}, {R,D,D}, {R,R,D}, {D,R,R}, {R,D,R}
Combinations: {D,D,D}, {D,D,R}, {D,R,R}, {R,R,R}
What did I do wrong fellows? I feel something is amiss.
probability statistics
$endgroup$
This is the questions - "List the sample space for three individuals chosen @ random to vote either Democrat or Republican. List the distinct combinations and permutations"
These are what I got for my answers but I don't think my sample space is correct since it's asking for sample space for three individuals chosen, could some of you smart fellows help me out please?
Sample Space: {D,R}
Permutations: {D,D,D}, {R,R,R}, {D,R,D}, {D,D,R}, {R,D,D}, {R,R,D}, {D,R,R}, {R,D,R}
Combinations: {D,D,D}, {D,D,R}, {D,R,R}, {R,R,R}
What did I do wrong fellows? I feel something is amiss.
probability statistics
probability statistics
asked Nov 2 '15 at 19:20
BrandonBrandon
196
196
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The permutations should be listed as ordered triples rather than sets.
$endgroup$
– N. F. Taussig
May 28 '18 at 13:01
add a comment |
$begingroup$
The permutations should be listed as ordered triples rather than sets.
$endgroup$
– N. F. Taussig
May 28 '18 at 13:01
$begingroup$
The permutations should be listed as ordered triples rather than sets.
$endgroup$
– N. F. Taussig
May 28 '18 at 13:01
$begingroup$
The permutations should be listed as ordered triples rather than sets.
$endgroup$
– N. F. Taussig
May 28 '18 at 13:01
add a comment |
1 Answer
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Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.
$endgroup$
add a comment |
$begingroup$
Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.
$endgroup$
add a comment |
$begingroup$
Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.
$endgroup$
Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.
answered Apr 12 '16 at 7:25
TabTab
1417
1417
add a comment |
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$begingroup$
The permutations should be listed as ordered triples rather than sets.
$endgroup$
– N. F. Taussig
May 28 '18 at 13:01