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![[Post New]](/templates/default/images/icon_minipost_new.gif) 16 Apr 2008 17:58:27 IST
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IF 2 EVENTS SUCH THAT P(A)=1/3 AND P(B)= 2/3 THEN FIND P(A  B) >= ?? |
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16 Apr 2008 18:00:53 IST
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ans should be 1
is it right?
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16 Apr 2008 18:04:19 IST
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are the events independent or not .if they are independent then P(AUB)=1/3 +2/3 -2/9=7/9 PLS REPLY TO ME IMMEDIATELY
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krishna wants to crack cat,gate,ias,ph.d.nobody can stop him from doing it |
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16 Apr 2008 19:34:21 IST
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16 Apr 2008 19:35:49 IST
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| actuully this ques is based on boole's theorem . but i m not getting it . | | |
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16 Apr 2008 20:16:27 IST
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| any body here?????????????? | | |
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16 Apr 2008 20:23:55 IST
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what is boole's theorem
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MAKING A MISTAKE IS HUMAN BUT REPEATING IT IS IDIOTIC. |
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16 Apr 2008 20:31:14 IST
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i dont know what boole's theorm u r talking about. but this q can be solved with a very basic ideas. p(A union B) = p(A) + p(B) - p( A intersection B). since we dont know anythin about the event we have to find the most least value. ie p( A intersection B). has the max value. think along venn diagram. when will this happen when one is a subset set of other => p( A intersection B).= p(A) in this case so the ans is p(B) = 2/3
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16 Apr 2008 20:36:45 IST
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IF 2 EVENTS SUCB)H THAT P(A)=1/3 AND P(B)= 2/3 THEN FIND
P(A U B) >= ??
P(A U B) = P(A) + P(B) - p(A intersection B)
P(A U B) = 1/3 + 2/3 - p(A intersection B)
now p(A intersection B) can be 0 to max 1/3
so P(A U B) >= 1/3 + 2/3 - 1/3
HENCE ... P(A U B) >= 2/3
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---------------------------------------------------------------
- Gaurav Ragtah (spideyunlimited)
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17 Apr 2008 16:02:59 IST
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thanks alot spideyunlimited & RyuAmakusa.
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