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I Suck at Math

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Posted: #1
I suck at math but need help solving this to settle a bet with my friend...

His probability to get into School A is determined to be 35%
His probability to get into School B is determined to be 32%
His probability to get into School C is determined to be 54%

What is the probability that he gets accepted into AT LEAST 1 of them? Thanks.
 
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Posted: #2
Would you multiply the opposites of those percentages to see get the percent chance that he is not accepted into any of them?

Ex. .65 X .68 X .46 = 20.3% chance = 79.7% chance that he gets accepted into one of them.

That could easily be wrong but the answer seems reasonable.  Good luck, but I've never heard of any of those schools
 
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Posted: #3
0%.
 
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Posted: #4
spitfire is right. however, your probabilities must equal 100% so you should adjust them for the three schools. The probability of getting accepted into at least 1 is simply 1-the probability of not getting into any. 
 
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Posted: #5
yuice, the probability of the 3 doesnt need to be equal to 100...

there is a different possibilty to get in to school A compared to school B etc.. it could as well be probability to be accepted in one school is 99% the other is 80% the other is 95%..
 
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Posted: #6

Quote Originally Posted by Spitfire15:

Would you multiply the opposites of those percentages to see get the percent chance that he is not accepted into any of them?

Ex. .65 X .68 X .46 = 20.3% chance = 79.7% chance that he gets accepted into one of them.

That could easily be wrong but the answer seems reasonable.  Good luck, but I've never heard of any of those schools

This is correct. 

 
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Posted: #7
Thanks.
 
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Posted: #8

 
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This assumes the probablities are independent of each other.  In real life, if he doesn't get into the easy school he won't get into the harder schools so the the real life probablilty will be a little higher than 54%
 
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Posted: #10
They are independent of eachother... School B doesn't care if he gets into school A or C
 
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Posted: #11

1 - ( .65 * .68 * .46)

 

 
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Posted: #12
Quote Originally Posted by Spitfire15:

They are independent of eachother... School B doesn't care if he gets into school A or C
Not true... If school 'A' has higher admission standards than school 'B' and school 'B' has higher admission standards than school 'C', and the likelihood of his getting into school 'C' is minimal at best...


 
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Posted: #13

they are not mutually exclusive ( total would be < 1)

The higher/lower standards are reflected in the percentages.

 
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Posted: #14
 
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Quote Originally Posted by hugh613:

Not true... If school 'A' has higher admission standards than school 'B' and school 'B' has higher admission standards than school 'C', and the likelihood of his getting into school 'C' is minimal at best...




Oh yeah?  Well I still got the answer right
 
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Posted: #16
Quote Originally Posted by Spitfire15:



Oh yeah?  Well I still got the answer right
That's because you were smart enough to get into school 'A'. If you'd only been smart enough to get into school 'C' however...


 
 
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Posted: #17
Who you got in the Texas/Alabama game is the real question.  Fuck all this math bullcrap
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