JEE Advanced Model Paper 4 with solutions for online practice

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Paragraph For Questions 53 and 54

Urn I contains 5 red balls and 1 blue ball and urn II contains 2 red balls and 4 blue balls.
A fair die is tossed. If it results in an even number, balls are repeatedly withdrawn one at a time with replacement from urn I. If it is an odd number, then balls are repeatedly with drawn one at a time with replacement from urn II. Given that, the first two draws both have resulted in a blue ball.
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Question : 53 of 54
 
Marks: +1, -0
Conditional probability that the first two draws have resulted in blue balls givenum II is used, is
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