Gregg has 8 cards.Half red,half black. He picks 2 cards from the deck.What is the probability both o

Discussion in 'Calculator Requests' started by math_celebrity, Apr 13, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Gregg has 8 cards.Half red,half black. He picks 2 cards from the deck.What is the probability both of them are red?

    Half means 4 cards are red and 4 cards are black.

    The first draw probability of red is:
    4 total red cards out of 8 total cards = 4/8.

    Simplified, this is 1/2

    The second draw is 3 total red cards out of 7 remaining cards. Since 1 red was drawn (4 - 1) = 3 reds left and 1 card was drawn (8 -1) = left
    3/7

    Since each draw is independent, we multiply the probabilities:
    1/2 * 3/7 = 3/14
     

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