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3 February, 00:15

Consider an experiment with a deck of 52 playing cards, in which there are 13 cards in each suit, two suits are black, and two suits are red. Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P (E1 or E2).

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  1. 3 February, 00:24
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    outcomes of E1 = [1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36]

    outcomes of E2 = [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35]

    Step-by-step explanation:

    PLATO
  2. 3 February, 00:30
    0
    P (E1) = 1/2 or 50%

    P (E2) = 3/13 or 23%

    Step-by-step explanation:

    1. Let's review the information given to us to answer the question correctly:

    Number of playing cards = 52

    Number of suits = 4

    Number of cards per suit = 13

    Number of black suits = 2

    Number of red suits = 2

    2. Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P (E1 or E2).

    P (E1) = Number of red cards/Total of playing cards

    P (E1) = 26/52 = 1/2 = 50%

    P (E2) = Number of face cards/Total of playing cards

    P (E2) = 12/52 = 3/13 = 23%
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