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26 December, 15:02

A magician has a collection of 52 cards, with 26 red and 26 black cards. Four of these cards are classified as 'special', and two of the special cards are red. If a card is chosen at random from the 52 cards, what is the probability that the card is special or red? Select one:

a. 2/52

b. 28/52

c. 26/52

d. 4/52

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Answers (1)
  1. 26 December, 15:09
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    option B (28/52)

    Step-by-step explanation:

    from probability

    P (A∪B) = P (A) + P (B) - P (A∩B)

    where

    P (A∪B) = probability that event A or B happen

    P (A∩B) = probability that event A and B happen simultaneously

    P (A) = probability that event A happen

    P (B) = probability that event B happen

    the probability that the card is special or red

    P (special or red) = P (special) + P (red) - P (special and red)

    since

    P (special) = 4/52

    P (red) = 26/52

    P (special and red) = 2/52

    therefore

    P (special or red) = 4/52 + 26/52 - 2/52 = 28/52

    P (special or red) = 28/52

    (option B)
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