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A card is drawn from a standard 52-card deck. What is the probability that the card is a red 8, given that the card is an 8?

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Diamondwashere Diamondwashere

19-06-2017
Mathematics

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A card is drawn from a standard 52-card deck. What is the probability that the card is a red 8, given that the card is an 8?

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konrad509 konrad509 · Answer 1 · 2018-07-17T15:48:09+02:00

konrad509 konrad509

17-07-2018

A - drawing a red 8

B - drawing an 8

[tex] P(A|B)=\dfrac{P(A\cap B)}{P(B)}\\\\
|\Omega|=52\\
|A\cap B|=2\\
|B|=4\\\\
P(A \cap B)=\dfrac{2}{52}=\dfrac{1}{26}\\
P(B)=\dfrac{4}{52}=\dfrac{1}{13}\\\\
P(A|B)=\dfrac{\dfrac{1}{26}}{\dfrac{1}{13}}=\dfrac{1}{26}\cdot13=\dfrac{1}{2} [/tex]

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PLEASE HELP TIMED A card is drawn from a standard 52-card deck. What is the probability that the card is a red 8, given that the card is an 8?

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PLEASE HELP TIMED
A card is drawn from a standard 52-card deck. What is the probability that the card is a red 8, given that the card is an 8?