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Two cards are drawn in succession from a pack of 52 cards. The first card should be a Queen and the second should be a King. What is the probability of doing so if the first card is replaced?
- a)1/52
- b)1/13
- c)2/50
- d)1/169
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Two cards are drawn in succession from a pack of 52 cards. The first ...
To find the probability of drawing a Queen and then a King, with replacement, from a pack of 52 cards, we can break down the problem into two separate events: drawing a Queen and then drawing a King.
Event 1: Drawing a Queen
- There are 4 Queens in a deck of 52 cards (one Queen for each suit - hearts, diamonds, clubs, spades).
- With replacement, after drawing a card, there will still be 52 cards in the deck.
- Therefore, the probability of drawing a Queen is 4/52, which can be simplified to 1/13.
Event 2: Drawing a King
- There are 4 Kings in a deck of 52 cards (one King for each suit - hearts, diamonds, clubs, spades).
- With replacement, after drawing a card, there will still be 52 cards in the deck.
- Therefore, the probability of drawing a King is 4/52, which can be simplified to 1/13.
Since both events are independent (drawing a Queen does not affect the probability of drawing a King), we can multiply the probabilities together to find the probability of both events occurring in succession.
Probability of drawing a Queen and then a King (with replacement):
= (1/13) * (1/13)
= 1/169
Therefore, the correct answer is option 'D' - 1/169.
Event 1: Drawing a Queen
- There are 4 Queens in a deck of 52 cards (one Queen for each suit - hearts, diamonds, clubs, spades).
- With replacement, after drawing a card, there will still be 52 cards in the deck.
- Therefore, the probability of drawing a Queen is 4/52, which can be simplified to 1/13.
Event 2: Drawing a King
- There are 4 Kings in a deck of 52 cards (one King for each suit - hearts, diamonds, clubs, spades).
- With replacement, after drawing a card, there will still be 52 cards in the deck.
- Therefore, the probability of drawing a King is 4/52, which can be simplified to 1/13.
Since both events are independent (drawing a Queen does not affect the probability of drawing a King), we can multiply the probabilities together to find the probability of both events occurring in succession.
Probability of drawing a Queen and then a King (with replacement):
= (1/13) * (1/13)
= 1/169
Therefore, the correct answer is option 'D' - 1/169.
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Community Answer
Two cards are drawn in succession from a pack of 52 cards. The first ...
Probability of drawing a Queen = 4/52 = 1/13
Since the first card is replaced, the pack will again have 52 cards. So, the probability of drawing a King = 4/52 = 1/13
Both the events are independent, hence the probability of drawing both cards in succession = 1/13 x 1/13 = 1/169
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Two cards are drawn in succession from a pack of 52 cards. The first card should be a Queen and the second should be a King. What is the probability of doing so if the first card is replaced?a)1/52b)1/13c)2/50d)1/169Correct answer is option 'D'. Can you explain this answer?
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Two cards are drawn in succession from a pack of 52 cards. The first card should be a Queen and the second should be a King. What is the probability of doing so if the first card is replaced?a)1/52b)1/13c)2/50d)1/169Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Two cards are drawn in succession from a pack of 52 cards. The first card should be a Queen and the second should be a King. What is the probability of doing so if the first card is replaced?a)1/52b)1/13c)2/50d)1/169Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cards are drawn in succession from a pack of 52 cards. The first card should be a Queen and the second should be a King. What is the probability of doing so if the first card is replaced?a)1/52b)1/13c)2/50d)1/169Correct answer is option 'D'. Can you explain this answer?.
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