a card selected from a deck of 52 cards what is the probability it is a black card or face card

Discussion in 'Calculator Requests' started by math_celebrity, Mar 13, 2021.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    a card selected from a deck of 52 cards what is the probability it is a black card or face card

    Facts:
    • Half the cards in the deck are black (26/52)
    • There are 12 face cards (K, Q, J) in a deck (12/52)
    • Black and Face = 6/52 (Duplicates from above)
    P(Black or Face) = P(Black) + P(Face) - P(Black And Face)
    P(Black or Face) = 26/52 + 12/52 - 6/52
    P(Black or Face) = 32/52

    We can simplify this. We use our fraction simplifier to get:
    P(Black or Face) = 8/13
     

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