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17 February, 09:55

A card is selected at random from a standard deck of 52 cards find the probability of choosing a spade or a 8card

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  1. 17 February, 10:03
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    The probability of choosing a spade or a 8card = 4/13

    Step-by-step explanation:

    There are 13 spade cards in the deck of 52 cards.

    ∴ Probability for the card to be a spade = P₁ = 13/52 = 1/4

    There are 4 8card in 52 cards.

    ∴ Probability for the card to be 8card = P₂ = 4/52 = 1/13

    There is only one 8card Spade

    ∴ Probability for the card to be an 8card and spade = P₁₂ = 1/52

    Probability for the card to be a spade or an ace = P₃ = P₁ + P₂ - P₁₂

    ∴ P₃ = 1/4 + 1/13 - 1/52 = 4/13
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