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An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment.If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is
[JEE 2008]
  • a)
    2, 4 or 8
  • b)
    3, 6 or 9
  • c)
    4 or 8
  • d)
    5 or 10
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An experiment has 10 equally likely outcomes. Let A and B be two non-e...
Let n(B)and n(A∩B)denote the number outcomes favourable to B and A∩B respectively.
As A and B are independent.
P(A∩B)=P(A)P(B)
⇒ n(A∩B)/10 = 4/10 × n(B)/10
⇒5n(A∩B)=2n(B)
⇒5∣n(B) 
⇒nb=5 or 10. [∵1≤nb≤10.]
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An experiment has 10 equally likely outcomes. Let A and B be two non-e...
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An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment.If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is[JEE 2008]a)2, 4 or 8b)3, 6 or 9c)4 or 8d)5 or 10Correct answer is option 'D'. Can you explain this answer?
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An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment.If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is[JEE 2008]a)2, 4 or 8b)3, 6 or 9c)4 or 8d)5 or 10Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment.If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is[JEE 2008]a)2, 4 or 8b)3, 6 or 9c)4 or 8d)5 or 10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment.If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is[JEE 2008]a)2, 4 or 8b)3, 6 or 9c)4 or 8d)5 or 10Correct answer is option 'D'. Can you explain this answer?.
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