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Questions and Answers
What is the probability of drawing a black king from a standard deck of 52 cards?
In a box containing 100 red, 200 yellow, and 50 blue cards, what is the probability of drawing a blue card?
What is the probability of not drawing a yellow card from a box of 100 red, 200 yellow, and 50 blue cards?
What is the probability of neither drawing a yellow nor a blue card from the box?
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In how many ways can you choose 2 cards from a set of 52 cards?
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What is the probability of drawing either a king or a queen from a standard deck of cards?
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If the total number of outcomes is 15 and the number of favorable outcomes is 3, what is the probability?
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What is the probability of drawing neither a jack nor a king from a standard deck of 52 cards?
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What is the probability of drawing a red king from a standard deck of cards?
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Calculate the probability of drawing neither a king nor a queen from a deck of cards.
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What is the probability of drawing a card that is a spade or an ace?
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If the perfect squares from 1 to 100 are considered, what is the probability of selecting one?
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Determine the probability of selecting a number that is divisible by 5 from the numbers 1 to 90.
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What is the probability of randomly selecting a multiple of 7 from the integers 1 to 119?
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How many total outcomes are there when rolling a fair six-sided die once?
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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?
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What is the probability of rolling a perfect square with a six-sided die?
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Calculate the probability of the sum of two dice being at least 10.
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What is the probability of drawing a red card or a queen from a standard deck of cards?
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How many outcomes are there when rolling two dice?
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What is the probability of rolling a doublet with two dice?
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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?
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In a standard deck of cards, what is the probability of drawing a card that is neither red nor a queen?
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What is the probability of getting exactly two heads when flipping three coins?
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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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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.
