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If X~Uniform[0,1] and Y|X =x ~ Binomial(2, 1/(1+x)), what is P(Y>= 1)?

If X~Uniform[0,1] and Y|X =x ~ Binomial(2, 1/(1+x)), what is P(Y>= 1)?

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TOPIC:Binomial distribution,Uniform distribution and probability.

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