Two cards are drawn from a deck of 52 cards.what is the probability that 2 cards are ACES or BLACK cards?

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  • 1 decade ago
    Best Answer

    In pack you will have 26 black cards and 26 red cards (which will include 2 aces). So the cards you are wanting to pull out are the 26 black cards + the 2 red aces.

    So when you take out the first card the probability is 28/52.

    However, once you've taken the first black/ace card, you only have 51 cards left in your pack of which only 27 now will be either black and/or ace. So the probability for the second card you take being black or ace =27/51

    Therefore the probability that 2 cards are aces or blacks= 28/52*27/51= 7/13*9/17=63/221

  • 1 decade ago

    Total no. of outcomes=52

    Favourable no. of outcomes=4(aces) + 26(black cards)=30

    Probability of getting an ace or black card =30 /52

    =15/26

  • 1 decade ago

    case1 when both are ace and not black

    P1=2C2/52C2

    case2 when both are black and not ace ,now out of 26 black cards u've 24 left

    P2= 24C2/52C2

    case3 when both r black and ace

    P3= 2C2/52C2

    case 3 when one is a black ace and other black and not ace

    P3 =2/52*24/52

    case4 when 1 is a black ace n 2nd ace not black

    P4=2/52*2/52

    now add all problty to get result

  • AaSHEK
    Lv 4
    1 decade ago

    aces=2/52 black=26/52=1/2

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  • 1 decade ago

    (4/52)+(12/52)

    =16/52

    =4/13

  • 1 decade ago

    P(ace) = 13C2/52C2

    P(black) = 26C2/52C2

    required P = (13C2 +26C2)/52C2

    = (78 + 325)/1326

    = 403/1326

  • 1 decade ago

    28/52 * 27/51= 28.506% for both aces and/or black cards

    26/52 * 25/51= 24.50% for both black cards

    4/52 * 3/51 = 0.452% both aces

  • 1 decade ago

    4C2 * 13C2 / 52C2

    = 6*78 / 1326

    = 468 / 1326

    = 234 / 663

    = 81 / 221

    I Think that i m right ..

  • 1 decade ago

    Why don't you put your question in a category where it belongs, like Mathematics?????

  • 1 decade ago

    (4C2+26C2)/52C2=(4/52)*(3/51)+(26/52)(25/51)=(4*3+26*25)/(52*51)=331/1326

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