A JEE Mains problem

Probability Level 3

An experiment has 10 10 equally likely outcomes . Let A a n d B A~and~B be two non-empty events of the experiment.If A A consists of 4 4 outcomes, the number of outcomes that B B must have so that A A and B B are independent .

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4 or 8 5 or 10 2,4 or 8 3,6 or 9

Tanishq Varshney by Tanishq Varshney , 23, India

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1 solution

Tanishq Varshney
Mar 20, 2015

P ( A ∩ B ) = P ( A ) P ( B ) P(A\cap B)=P(A)P(B)

= 4 10 × x 10 =\frac{4}{10}\times \frac{x}{10}

= 2 x 5 10 =\frac{\frac{2x}{5}}{10}

hence x x should be a multiple of 5 5

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