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Questions and Answers
What is the probability of drawing a black king from a standard deck of 52 cards?
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?
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?
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?
What is the probability of neither drawing a yellow nor a blue card from the box?
In how many ways can you choose 2 cards from a set of 52 cards?
In how many ways can you choose 2 cards from a set of 52 cards?
What is the probability of drawing either a king or a queen from a standard deck of cards?
What is the probability of drawing either a king or a queen from a standard deck of cards?
If the total number of outcomes is 15 and the number of favorable outcomes is 3, what is the probability?
If the total number of outcomes is 15 and the number of favorable outcomes is 3, what is the probability?
What is the probability of drawing neither a jack nor a king from a standard deck of 52 cards?
What is the probability of drawing neither a jack nor a king from a standard deck of 52 cards?
What is the probability of drawing a red king from a standard deck of cards?
What is the probability of drawing a red king from a standard deck of cards?
Calculate the probability of drawing neither a king nor a queen from a deck of cards.
Calculate the probability of drawing neither a king nor a queen from a deck of cards.
What is the probability of drawing a card that is a spade or an ace?
What is the probability of drawing a card that is a spade or an ace?
If the perfect squares from 1 to 100 are considered, what is the probability of selecting one?
If the perfect squares from 1 to 100 are considered, what is the probability of selecting one?
Determine the probability of selecting a number that is divisible by 5 from the numbers 1 to 90.
Determine the probability of selecting a number that is divisible by 5 from the numbers 1 to 90.
What is the probability of randomly selecting a multiple of 7 from the integers 1 to 119?
What is the probability of randomly selecting a multiple of 7 from the integers 1 to 119?
How many total outcomes are there when rolling a fair six-sided die once?
How many total outcomes are there when rolling a fair six-sided die once?
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?
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?
What is the probability of rolling a perfect square with a six-sided die?
What is the probability of rolling a perfect square with a six-sided die?
Calculate the probability of the sum of two dice being at least 10.
Calculate the probability of the sum of two dice being at least 10.
What is the probability of drawing a red card or a queen from a standard deck of cards?
What is the probability of drawing a red card or a queen from a standard deck of cards?
How many outcomes are there when rolling two dice?
How many outcomes are there when rolling two dice?
What is the probability of rolling a doublet with two dice?
What is the probability of rolling a doublet with two dice?
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?
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?
In a standard deck of cards, what is the probability of drawing a card that is neither red nor a queen?
In a standard deck of cards, what is the probability of drawing a card that is neither red nor a queen?
What is the probability of getting exactly two heads when flipping three coins?
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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