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What is the probability that event E or event F or both will

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What is the probability that event E or event F or both will [#permalink] New post 09 May 2012, 11:43
00:00
A
B
C
D
E

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What is the probability that event E or event F or both will occur?

(1) The probability that event E will occur is 0.6
(2) The probability that event F will occur is 0.4
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Re: GWD #18 M32 [#permalink] New post 09 May 2012, 11:47
Independent probability

Ifor example, if two coins are flipped the chance of both being heads is [18]

Mutually exclusive
If either event A or event B or both events occur on a single performance of an experiment this is called the union of the events A and B denoted as .

For example, the chance of rolling a 1 or 2 on a six-sided die is

This is from Wikipedia. I found this when I was searching for the explanation for this question.
But I am still confused the difference between independent probability and mutually exclusive.
To me, they sound the same. Help me understand them.
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Re: What is the probability that event E or event F or both will [#permalink] New post 15 Jun 2012, 02:10
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eybrj2 wrote:
What is the probability that event E or event F or both will occur?

(1) The probability that event E will occur is 0.6
(2) The probability that event F will occur is 0.4

What is asked is the value of P(E)+P(F)+P(E union F)
we cannot determine (E union F) combining 1 & 2 as well. Hence the answer is E
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Re: What is the probability that event E or event F or both will [#permalink] New post 29 Oct 2012, 13:35
shouldn't this be P(e) + P(f) and so the answer C Why E?
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Re: What is the probability that event E or event F or both will [#permalink] New post 14 Jan 2014, 01:39
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Re: What is the probability that event E or event F or both will [#permalink] New post 16 Jan 2014, 18:42
Hi Bunuel,

I am not clear why E is the answer...

we have to find P(E)+P(F) + P(EUF), so using Stm1 and Stm 2, we should be able to find.

i.e 0.6 +0.4 + ( 0.6x0.4)...

So, Isn't the answer should be C

Thanks
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Re: What is the probability that event E or event F or both will [#permalink] New post 28 Jan 2014, 04:22
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Mountain14 wrote:
Hi Bunuel,

I am not clear why E is the answer...

we have to find P(E)+P(F) + P(EUF), so using Stm1 and Stm 2, we should be able to find.

i.e 0.6 +0.4 + ( 0.6x0.4)...

So, Isn't the answer should be C

Thanks


I'm not Bunuel but I'm sure I can help

P (A and B) = P(A) * P (B/A). That means the probability of B given that A happens. Now only way that the second term is equal to P(B) is if they are independent events, otherwise the probability will be affected. For instance if you have some balls to pick from and you remove some and don't replace them then successive probabilities will change right? So back to the question, Are they independent events? We just don't know this.

Hope it helps brother
Cheers!
K :)

PS. Just as a side note check also Mutually exclusive events in the GMAT Club Math Book just to be clear with those Probability concepts
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Re: What is the probability that event E or event F or both will [#permalink] New post 28 Jan 2014, 05:34
Hi we have no information weather E and F are independent events. So we cant answer the question even by considering the two choices
So ans should be E
Re: What is the probability that event E or event F or both will   [#permalink] 28 Jan 2014, 05:34
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