a card is chosen at a random from a deck of 52 cards. it is then replaced and a second card is chose

Discussion in 'Calculator Requests' started by math_celebrity, May 9, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    a card is chosen at a random from a deck of 52 cards. it is then replaced and a second card is chosen. what is the probability of getting a jack and then an eight?

    Calculate the probability of drawing a jack from a full deck
    There are 4 jacks in a deck of 52 cards
    P(J) = 4/52
    P(J) = 1/13 <-- We simplify 4/52 by dividing top and bottom of the fraction by 4

    Calculate the probability of drawing an eight from a full deck
    There are 4 eights in a deck of 52 cards. We replaced the first card giving us 52 cards to choose from.
    P(8) = 4/52
    P(8) = 1/13 <-- We simplify 4/52 by dividing top and bottom of the fraction by 4

    Since each event is independent, we multiply:
    P(J, 8) = P(J) * P(8)
    P(J, 8) = 1/13 * 1/13
    P(J, 8) = 1/169
     

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