Verified Solution • 2025–26 Session moderate

QJEEAdv08Ma9549: JEE Advanced 2008 Mathematics - Class 12 JEEAdv08Ma9549 Solution: An experiment has 10 equally likely outcomes. Let A and B be…

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 :

Multiple Choice Options

  • A 2, 4 or 8
  • B 3, 6 or 9
  • C 4 or 8
  • D 5 or 10

Step-by-Step Verified Solution

Given,

An experiment has 10 equally likely outcomes,

Let B have n no of outcomes,

So, P(B)=n10

P(A)=410

P(A∩B)=410×n10=2n510

Since, A and B are independent

n is an integer

n = 5 or 10

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