proabability

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October 11th 2012, 12:04 PM
tukker0509

proabability

The probability of an event and its complement equals one. True or false?
October 11th 2012, 12:31 PM
Plato

Re: proabability

Quote:

Originally Posted by tukker0509

The probability of an event and its complement equals one. True or false?

$\mathcal{P}(E)+\mathcal{P}(E^c)=\mathcal{P}(E)+[1-\mathcal{P}(E)]=~?$
October 11th 2012, 12:50 PM
jsweston828

Re: proabability

Quote:

Originally Posted by Plato

$\mathcal{P}(E)+\mathcal{P}(E^c)=\mathcal{P}(E)+[1-\mathcal{P}(E)]=~?$

What is that equation????!
October 11th 2012, 01:19 PM
Plato

Re: proabability

Quote:

Originally Posted by jsweston828

What is that equation????!

Does the OP mean

$\mathcal{P}(E)+\mathcal{P}(E^c)$ OR $\mathcal{P}(E\cap E^c)~?$
October 11th 2012, 01:20 PM
jsweston828

Re: proabability

Im so confused! I just answered True!!
October 11th 2012, 01:23 PM
Plato

Re: proabability

Quote:

Originally Posted by jsweston828

Im so confused! I just answered True!!

Well $\mathcal{P}(E)+\mathcal{P}(E^c)=1$ AND $\mathcal{P}(E\cap E^c)=0.$
October 11th 2012, 01:27 PM
jsweston828

Re: proabability

So would you say the answer is true or false!!
October 11th 2012, 01:33 PM
Plato

Re: proabability

Quote:

Originally Posted by jsweston828

So would you say the answer is true or false!!

I have no idea. "The probability of an event and its complement equals one."
That is such a poorly constructed phrase as to be meaningless.
Look at reply #4. It could be either.
October 11th 2012, 01:34 PM
jsweston828

Re: proabability

ohhh I see! Im just going to hope its correct!

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