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Phrases Probability PYQ



If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black balls will be drawn is:





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Solution



Given below are two statements: 
Statement I : If AB then B can be expressed as B=A(¯AB) and P(A) > P(B).

Statement II : If A and B are independent events, then (A and ¯B), (¯A and B) and (¯A and ¯B) are also independent 
In the light of the above statements, choose the most appropriate answer from the options given below:





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Consider n events E1,E2En with respective probabilities p1,p2pn. If P(E1,E2En)=ni=1pi, then





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Given a set of events E1,E2En defined on the sample space S such that :
(i) iandj,ij,EiEj=ϕ
(ii) ni=1Ei=S
(iii) P(Ei)>0, 

Then the events are 





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Given three identical boxes B1 B2 and B3 each containing two balls. B1 containstwo golden balls. B2 contains two silver balls and B3 contains one silver and onegolden ball. Conditional probabilities that the golden ball is drawn from B1, B2, B3are ____,______,______ respectively





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