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Another probability Question.?

A single card is drawn from an ordinary 52-card deck. What is the probability of getting a diamond or an ace.

Please show me steps. Thank you.

3 Answers

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  • 6 years ago
    Favorite Answer

    There are 13 cards in each suit

    There are 4 aces in the deck

    So it would seem that there might be 17 cards to count, except one of those is the ace of diamonds which would have been counted twice. Subtract 1 for that.

    In total there 16 cards that are diamonds or aces out of 52.

    P(diamond or ace) = 16/52

    That can be reduced by dividing top and bottom by 4:

    Answer:

    4/13

  • 6 years ago

    P(getting a diamond) = P(A) = 13/52

    P(getting an ace) = P(B) = 4/52

    P(A and B) = 1/52

    According to the Addition Theorem of Probability

    P(getting a diamond or an ace) = P(A or B)

    = P(A) + P(B) - P(A and B) --------> [because the events A and B are NOT mutually exclusive]

    = 13/52 + 4/52 - 1/52

    = 16/52 or 4/13

  • 6 years ago

    What is this? F*cking kindergarden math class? Stop jerking off and actually study for once. See this is what is wrong with this country, besides the jews, is lazy pieces of **** like you. Why don't you pay attention in school rather than sticking your d*ck in a crusty tube sock and wanking off to trannys or whatever f*cked up **** you're probably into, you f*cking piece of sh*t. I hope you die.

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