Probability of Drawing Cards
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Questions and Answers

What is the probability of drawing a black king from a standard deck of 52 cards?

  • 1/2
  • 1/52
  • 1/26 (correct)
  • 1/13

    • In a box containing 100 red, 200 yellow, and 50 blue cards, what is the probability of drawing a blue card?

  • 1/5
  • 1/2
  • 1/3
  • 1/4 (correct)

    • What is the probability of not drawing a yellow card from a box of 100 red, 200 yellow, and 50 blue cards?

  • 3/7
  • 1/2
  • 2/7 (correct)
  • 1/7

    • What is the probability of neither drawing a yellow nor a blue card from the box?

    <p>2/7</p> Signup and view all the answers

    In how many ways can you choose 2 cards from a set of 52 cards?

    <p>2652</p> Signup and view all the answers

    What is the probability of drawing either a king or a queen from a standard deck of cards?

    <p>2/13</p> Signup and view all the answers

    If the total number of outcomes is 15 and the number of favorable outcomes is 3, what is the probability?

    <p>1/5</p> Signup and view all the answers

    What is the probability of drawing neither a jack nor a king from a standard deck of 52 cards?

    <p>44/52</p> Signup and view all the answers

    What is the probability of drawing a red king from a standard deck of cards?

    <p>$\frac{2}{52}$</p> Signup and view all the answers

    Calculate the probability of drawing neither a king nor a queen from a deck of cards.

    <p>$\frac{40}{52}$</p> Signup and view all the answers

    What is the probability of drawing a card that is a spade or an ace?

    <p>$\frac{3}{52}$</p> Signup and view all the answers

    If the perfect squares from 1 to 100 are considered, what is the probability of selecting one?

    <p>$\frac{8}{100}$</p> Signup and view all the answers

    Determine the probability of selecting a number that is divisible by 5 from the numbers 1 to 90.

    <p>$\frac{18}{90}$</p> Signup and view all the answers

    What is the probability of randomly selecting a multiple of 7 from the integers 1 to 119?

    <p>$\frac{16}{119}$</p> Signup and view all the answers

    How many total outcomes are there when rolling a fair six-sided die once?

    <p>6</p> Signup and view all the answers

    In a bag containing 90 balls, 9 are blue and the rest are of different colors. What is the probability of drawing a blue ball?

    <p>$\frac{9}{90}$</p> Signup and view all the answers

    What is the probability of rolling a perfect square with a six-sided die?

    <p>$\frac{2}{6}$</p> Signup and view all the answers

    Calculate the probability of the sum of two dice being at least 10.

    <p>$\frac{1}{6}$</p> Signup and view all the answers

    What is the probability of drawing a red card or a queen from a standard deck of cards?

    <p>$\frac{28}{52}$</p> Signup and view all the answers

    How many outcomes are there when rolling two dice?

    <p>36</p> Signup and view all the answers

    What is the probability of rolling a doublet with two dice?

    <p>$\frac{1}{12}$</p> Signup and view all the answers

    If there are 12 integers between 1 and 100 that are divisible by 8, what is the probability of randomly selecting a number that is not divisible by 8?

    <p>$\frac{49}{98}$</p> Signup and view all the answers

    In a standard deck of cards, what is the probability of drawing a card that is neither red nor a queen?

    <p>$\frac{24}{52}$</p> Signup and view all the answers

    What is the probability of getting exactly two heads when flipping three coins?

    <p>$\frac{3}{8}$</p> Signup and view all the answers

    Study Notes

    Probability of Drawing Cards

    • A standard deck of 52 cards has 4 suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King.
    • There are 2 black suits (clubs and spades) and 2 red suits (hearts and diamonds).
    • Probability of event A = (Number of favorable outcomes for A) / (Total number of outcomes)

    Example 1

    • A card of clubs or an ace: There are 13 clubs and 4 aces (including the ace of clubs, which is counted once).

    (13 clubs + 3 aces) / 52 cards = 16/52 = 4/13

    • A black king: There are two: the king of clubs and king of spades.

    2/52 = 1/26

    • Neither a jack nor a king: 52 cards - 4 jacks - 4 kings = 44 cards

    44/52 = 11/13

    • Either a king or a queen: 4 kings + 4 queens = 8

    8/52 = 2/13

    Example 2

    • A box contains 100 red cards, 200 yellow cards, and 50 blue cards, for a total of 350 cards.
    • Probability of drawing a blue card: 50 blue cards / 350 total cards = 1/7
    • Probability of drawing a card that is not yellow: 150 (red cards) / 350 total cards = 3/7
    • Probability of drawing a card neither yellow nor blue (i.e., red): 100 red cards / 350 total cards = 2/7

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    10 Maths Probability Notes Question Bank PDF

    Description

    This quiz covers the fundamentals of probability as applied to drawing cards from a standard deck. It examines various scenarios, calculating the probability of specific events related to the cards. You'll gain a better understanding of how to determine favorable outcomes and total outcomes in different situations.

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