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Home > MC2 > Chapter 1 > Lesson 1.2.1 > Problem 1-47

1-47.

1-47. A standard deck of playing cards has four suits (symbols) in two colors: diamonds and hearts are red; clubs and spades are black. Each suit has 13 cards: an ace, the numbers two through ten, a jack, a queen, and a king.

  1. What is P(black)?

    P(black) means that you are finding the probability of drawing a black card from the deck.

    How many black cards (spades and clubs) are there? How many cards are there total? Use a fraction in your answer.

    Remember, the total number of cards is the denominator and the number of black cards is the numerator.

  2. What is P(ace)?

    How many aces are there in a deck of cards? How many cards are there total?

    Remember, there are 4 suits with 1 ace in each suit

  3. What is P(club)?

    How many clubs are there in a deck of cards? How many cards are there total?

    Remember, each suit has 13 cards.

  4. If you drew a card from the deck and then replaced it, and repeated this 100 times, about how many times would you expect to draw a face card (king, queen, or jack)?Hint (d):

    What is P(face)?

    What is P(face) one hundred times? P(face) x 100 = ?

    About 22 or 23 times