From a regular deck of 52 playing cards, you turn over a 6 and then a 7. What is the probability tha

Discussion in 'Calculator Requests' started by math_celebrity, Oct 12, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    From a regular deck of 52 playing cards, you turn over a 6 and then a 7. What is the probability that the next card you turn over will be a face card?

    Key phrases: 52 card standard deck so you know there's no tricks or missing cards.

    Calculate the number of face cards in a standard 52 card deck
    First, we know that face cards = (J, K, Q)
    We also know that there are 4 suits (Hearts, Diamonds, Spades, Clubs)
    Total Face Cards = 3 face card types * 4 possible suits = 12 face cards

    Calculate total face down cards
    First card, you turn over a 6
    Next card, you turn over a 7

    This means, we have 52 cards - 2 cards from the draws = 50 cards left in the deck which are face down.

    P(Face Card) = Total Face Cards / Total Cards in the Deck Face Down
    P(Face Card) = 12/50

    Simplifying this fraction using our math engine, we get:
    P(Face Card) = 6/25
     

Share This Page