Theroretical percentage overlap
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I've spent a long time searching but cant find any information. I'm probably searching the wrong terms.
Example:
If 50% of chairs are red, and 25% of chairs are tall. What percentage of chairs are both red and tall.
I'd like to be able to do this for n variables.
Example:
3% of chairs have three legs. How many chairs are red, tall and three legged?
I know this would just be theoretical but let's assume a completely random distribution of traits.
probability statistics percentages
asked Jan 5 at 0:20
ArkyrisArkyris
1
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add a comment |
$begingroup$
I've spent a long time searching but cant find any information. I'm probably searching the wrong terms.
Example:
If 50% of chairs are red, and 25% of chairs are tall. What percentage of chairs are both red and tall.
I'd like to be able to do this for n variables.
Example:
3% of chairs have three legs. How many chairs are red, tall and three legged?
I know this would just be theoretical but let's assume a completely random distribution of traits.
probability statistics percentages
asked Jan 5 at 0:20
ArkyrisArkyris
1
$endgroup$
$begingroup$
I don't think that "theoretical percentage" is at all the right term (that seems closer to theoretical yield from other sciences). And the issue is that we don't have enough information. In the first, it's possible that the only tall chairs are red ($25%$) would be the answer), and it's possible that the only tall chairs are, e.g. blue ($0%$ would be the answer). Or any value in-between depending. A similar thing holds for the second example.
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– Eevee Trainer
Jan 5 at 0:29
add a comment |
$begingroup$
I've spent a long time searching but cant find any information. I'm probably searching the wrong terms.
Example:
If 50% of chairs are red, and 25% of chairs are tall. What percentage of chairs are both red and tall.
I'd like to be able to do this for n variables.
Example:
3% of chairs have three legs. How many chairs are red, tall and three legged?
I know this would just be theoretical but let's assume a completely random distribution of traits.
probability statistics percentages
asked Jan 5 at 0:20
ArkyrisArkyris
1
$endgroup$
I've spent a long time searching but cant find any information. I'm probably searching the wrong terms.
Example:
If 50% of chairs are red, and 25% of chairs are tall. What percentage of chairs are both red and tall.
I'd like to be able to do this for n variables.
Example:
3% of chairs have three legs. How many chairs are red, tall and three legged?
I know this would just be theoretical but let's assume a completely random distribution of traits.
probability statistics percentages
probability statistics percentages
asked Jan 5 at 0:20
ArkyrisArkyris
1
asked Jan 5 at 0:20
ArkyrisArkyris
1
asked Jan 5 at 0:20
ArkyrisArkyris
1
asked Jan 5 at 0:20
ArkyrisArkyris
1
asked Jan 5 at 0:20
ArkyrisArkyris
1
1
$begingroup$
I don't think that "theoretical percentage" is at all the right term (that seems closer to theoretical yield from other sciences). And the issue is that we don't have enough information. In the first, it's possible that the only tall chairs are red ($25%$) would be the answer), and it's possible that the only tall chairs are, e.g. blue ($0%$ would be the answer). Or any value in-between depending. A similar thing holds for the second example.
$endgroup$
– Eevee Trainer
Jan 5 at 0:29
add a comment |
$begingroup$
I don't think that "theoretical percentage" is at all the right term (that seems closer to theoretical yield from other sciences). And the issue is that we don't have enough information. In the first, it's possible that the only tall chairs are red ($25%$) would be the answer), and it's possible that the only tall chairs are, e.g. blue ($0%$ would be the answer). Or any value in-between depending. A similar thing holds for the second example.
$endgroup$
– Eevee Trainer
Jan 5 at 0:29
$begingroup$
I don't think that "theoretical percentage" is at all the right term (that seems closer to theoretical yield from other sciences). And the issue is that we don't have enough information. In the first, it's possible that the only tall chairs are red ($25%$) would be the answer), and it's possible that the only tall chairs are, e.g. blue ($0%$ would be the answer). Or any value in-between depending. A similar thing holds for the second example.
$endgroup$
– Eevee Trainer
Jan 5 at 0:29
$begingroup$
I don't think that "theoretical percentage" is at all the right term (that seems closer to theoretical yield from other sciences). And the issue is that we don't have enough information. In the first, it's possible that the only tall chairs are red ($25%$) would be the answer), and it's possible that the only tall chairs are, e.g. blue ($0%$ would be the answer). Or any value in-between depending. A similar thing holds for the second example.
$endgroup$
– Eevee Trainer
Jan 5 at 0:29
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
In general it is impossible to say, but if they are completely randomly distributed and independent qualities as you say than it is just the product of the probabilities. For example, if $frac12$ of chairs are red and $frac14$ are tall, we expect $frac14$ of the red chairs to be tall as well. So $frac18$ of all the chairs should be red and tall. And $3%$ of those should have $3$ legs, so $frac3{800}$ of all the chairs should have all these properties.
answered Jan 5 at 0:30
Erik ParkinsonErik Parkinson
1,17519
$endgroup$
$begingroup$
That makes sense. Thank you! I don't know why this was eluding me.
$endgroup$
– Arkyris
Jan 5 at 0:39
add a comment |
Your Answer
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1 Answer
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$begingroup$
In general it is impossible to say, but if they are completely randomly distributed and independent qualities as you say than it is just the product of the probabilities. For example, if $frac12$ of chairs are red and $frac14$ are tall, we expect $frac14$ of the red chairs to be tall as well. So $frac18$ of all the chairs should be red and tall. And $3%$ of those should have $3$ legs, so $frac3{800}$ of all the chairs should have all these properties.
answered Jan 5 at 0:30
Erik ParkinsonErik Parkinson
1,17519
$endgroup$
$begingroup$
That makes sense. Thank you! I don't know why this was eluding me.
$endgroup$
– Arkyris
Jan 5 at 0:39
add a comment |
$begingroup$
In general it is impossible to say, but if they are completely randomly distributed and independent qualities as you say than it is just the product of the probabilities. For example, if $frac12$ of chairs are red and $frac14$ are tall, we expect $frac14$ of the red chairs to be tall as well. So $frac18$ of all the chairs should be red and tall. And $3%$ of those should have $3$ legs, so $frac3{800}$ of all the chairs should have all these properties.
answered Jan 5 at 0:30
Erik ParkinsonErik Parkinson
1,17519
$endgroup$
$begingroup$
That makes sense. Thank you! I don't know why this was eluding me.
$endgroup$
– Arkyris
Jan 5 at 0:39
add a comment |
$begingroup$
In general it is impossible to say, but if they are completely randomly distributed and independent qualities as you say than it is just the product of the probabilities. For example, if $frac12$ of chairs are red and $frac14$ are tall, we expect $frac14$ of the red chairs to be tall as well. So $frac18$ of all the chairs should be red and tall. And $3%$ of those should have $3$ legs, so $frac3{800}$ of all the chairs should have all these properties.
answered Jan 5 at 0:30
Erik ParkinsonErik Parkinson
1,17519
$endgroup$
In general it is impossible to say, but if they are completely randomly distributed and independent qualities as you say than it is just the product of the probabilities. For example, if $frac12$ of chairs are red and $frac14$ are tall, we expect $frac14$ of the red chairs to be tall as well. So $frac18$ of all the chairs should be red and tall. And $3%$ of those should have $3$ legs, so $frac3{800}$ of all the chairs should have all these properties.
answered Jan 5 at 0:30
Erik ParkinsonErik Parkinson
1,17519
answered Jan 5 at 0:30
Erik ParkinsonErik Parkinson
1,17519
answered Jan 5 at 0:30
Erik ParkinsonErik Parkinson
1,17519
answered Jan 5 at 0:30
Erik ParkinsonErik Parkinson
1,17519
1,17519
$begingroup$
That makes sense. Thank you! I don't know why this was eluding me.
$endgroup$
– Arkyris
Jan 5 at 0:39
add a comment |
$begingroup$
That makes sense. Thank you! I don't know why this was eluding me.
$endgroup$
– Arkyris
Jan 5 at 0:39
$begingroup$
That makes sense. Thank you! I don't know why this was eluding me.
$endgroup$
– Arkyris
Jan 5 at 0:39
$begingroup$
That makes sense. Thank you! I don't know why this was eluding me.
$endgroup$
– Arkyris
Jan 5 at 0:39
add a comment |
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$begingroup$
I don't think that "theoretical percentage" is at all the right term (that seems closer to theoretical yield from other sciences). And the issue is that we don't have enough information. In the first, it's possible that the only tall chairs are red ($25%$) would be the answer), and it's possible that the only tall chairs are, e.g. blue ($0%$ would be the answer). Or any value in-between depending. A similar thing holds for the second example.
$endgroup$
– Eevee Trainer
Jan 5 at 0:29