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# Events E and F are such that P(not E or not F) = 0.25, State

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Intern
Joined: 11 Oct 2008
Posts: 10
Events E and F are such that P(not E or not F) = 0.25, State [#permalink]

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11 Oct 2008, 15:05
Events E and F are such that P(not E or not F) = 0.25, State whether E and F are mutually exclusive.
The answer is No, cud u let me know how?

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Intern
Joined: 28 Sep 2008
Posts: 3
Re: probability help!! [#permalink]

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Updated on: 11 Oct 2008, 18:29
1
earthwork wrote:
Events E and F are such that P(not E or not F) = 0.25, State whether E and F are mutually exclusive.
The answer is No, cud u let me know how?

In the general case:

P(A or B) = P(not A and not B)

Thus, in this case:

0.25 = P(not E or not F) = P(E and F)

P(A and B) = 0 if and only if events A and B are mutually exclusive. Since P(E and F) = 0.25, therefore E and F are NOT mutually exclusive. Here are a couple resources you could use to study probability for the GMAT:

Probability Rules
Rules of Probability

Originally posted by OutsmartTheGMAT on 11 Oct 2008, 17:56.
Last edited by Praetorian on 11 Oct 2008, 18:29, edited 1 time in total.
Intern
Joined: 11 Oct 2008
Posts: 10
Re: probability help!! [#permalink]

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13 Oct 2008, 11:59
thanka a lot, links u hv given r helpful !

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: probability help!!   [#permalink] 13 Oct 2008, 11:59
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# Events E and F are such that P(not E or not F) = 0.25, State

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