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

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

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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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