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Card from 52 deck: are the events being dealt a jack and being dealt a spade...

Card from 52 deck:

are the events being dealt a jack and being dealt a spade independent? prove

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Answer #1

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Probability of choosing a jack=4/52=1/13

Probability of choosing a spade=13/52=1/4

Probability of choosing jack and spade=1/52

P(jack and spade)=P(jack)*P(spade)=(1/13)*(1/4)=1/52

Yes,independent events.

(As,P(A and B)=P(A)*P(B))

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