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Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityConditional probabilityMedium2 minPYQ_2015
MathematicsMediummultiple choice

Letn1 and n2be the number of red and black balls, respectively, in box I. Letn3and n4be the number of red and black balls, respectively, in box II.
A ball is drawn at random from box I and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is13, then the correct options(s) with the possible values ofn1and n2is(are)

Options:(select one or more)

Answer:
C, D
Solution:

Probability= n1n1+n2  n1-1n1+n2-1+ n2n1+n2  n1n1+n2-1=13
  n1n1-1+n2n1n1+n2(n1+n2-1)=13
   n1=10, n2=20
orn1=3,  n2=6 

Stream:JEE_ADVSubject:MathematicsTopic:ProbabilitySubtopic:Conditional probability
2mℹ️ Source: PYQ_2015

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