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eblox
eblox asked in Science & MathematicsMathematics · 2 years ago

probabilities help?

Find P(Queen|Face Card). Enter your answer as a decimal rounded two places.

Update:

*Find the Conditional Probability

5 Answers

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  • King Leo
    Lv 7
    2 years ago
    Favorite Answer

    .

    P( Queen | Face Card ) = P( Queen ∩ Face Card ) / P( Face Card )

    P( Queen ∩ Face Card ) = 4/52

    P( Face Card ) = 12/52

    P( Queen | Face Card ) = ( 4/52 ) / ( 12/52 )

    P( Queen | Face Card ) = ⅓

  • ?
    Lv 7
    2 years ago

    12 Face cards in the pack

    4 Queens

    P(Q|Face) = 4/12 =1/3

  • ?
    Lv 4
    2 years ago

    Hahahaha! What a question! Who made this one!

  • az_lender
    Lv 7
    2 years ago

    I guess you're asking for the probability of drawing a queen, GIVEN that you have drawn a face card. If only jacks, queens, and kings count as face cards, the answer is,

    P(Queen|Face Card) = 1/3 or 0.33

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  • Some Body
    Lv 7
    2 years ago

    Conditional probability is defined as:

    P(A|B) = P(A∩B) / P(B)

    Or, in English:

    Probability that A occurs, given that B has occurred = Probability that both A and B occur / Probability that B occurs

    P(A∩B) = 4/52

    P(B) = 12/52

    P(A|B) = 4/12

    P(A|B) = 0.33

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