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Three face cards of spade are removed from a well shuffled pack of 52 cards and a card is drawn from the remaining pack. The probability of getting a black face card is
- a)12/50
- b)7/49
- c)3/49
- d)9/50
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Three face cards of spade are removed from a well shuffled pack of 52 ...
If 3 face cards of spades are removed
no of total possible outcomes = 52-3=49
1)a black faces card=E
no of favourable outcomes = 3
p(E)=no of favourable outcomes/no of total possible outcomes
=3/49
2)a queen=E
no of favourable outcomes=3
p(E)= 3/49
3)a black card=E
no of favourable outcomes=26-3=23
p(E)=23/49
4)a spade=E
no of favourable outcomes=13-3=10
p(E)=10/49
Most Upvoted Answer
Three face cards of spade are removed from a well shuffled pack of 52 ...
To solve this problem, we need to calculate the probability of drawing a black face card from the remaining pack after three face cards of spades have been removed.
Total number of cards in the pack = 52
Number of black face cards = 6 (2 black face cards in spades and 4 black face cards in clubs)
Number of cards removed = 3
Probability of drawing a black face card = Number of favorable outcomes / Total number of outcomes
1. Total number of outcomes:
After removing 3 cards, there are 52 - 3 = 49 cards remaining in the pack.
2. Number of favorable outcomes:
We need to calculate the number of black face cards remaining in the pack. Since we removed 3 face cards of spades, there are 6 - 3 = 3 black face cards remaining (all 4 black face cards in clubs and 1 black face card in spades).
Therefore, the number of favorable outcomes is 3.
3. Probability of drawing a black face card:
Probability = Number of favorable outcomes / Total number of outcomes
= 3 / 49
Hence, the correct answer is option 'C' - 3/49.
Total number of cards in the pack = 52
Number of black face cards = 6 (2 black face cards in spades and 4 black face cards in clubs)
Number of cards removed = 3
Probability of drawing a black face card = Number of favorable outcomes / Total number of outcomes
1. Total number of outcomes:
After removing 3 cards, there are 52 - 3 = 49 cards remaining in the pack.
2. Number of favorable outcomes:
We need to calculate the number of black face cards remaining in the pack. Since we removed 3 face cards of spades, there are 6 - 3 = 3 black face cards remaining (all 4 black face cards in clubs and 1 black face card in spades).
Therefore, the number of favorable outcomes is 3.
3. Probability of drawing a black face card:
Probability = Number of favorable outcomes / Total number of outcomes
= 3 / 49
Hence, the correct answer is option 'C' - 3/49.
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Three face cards of spade are removed from a well shuffled pack of 52 cards and a card is drawn from the remaining pack. The probability of getting a black face card isa)12/50b)7/49c)3/49d)9/50Correct answer is option 'C'. Can you explain this answer?
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Three face cards of spade are removed from a well shuffled pack of 52 cards and a card is drawn from the remaining pack. The probability of getting a black face card isa)12/50b)7/49c)3/49d)9/50Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Three face cards of spade are removed from a well shuffled pack of 52 cards and a card is drawn from the remaining pack. The probability of getting a black face card isa)12/50b)7/49c)3/49d)9/50Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three face cards of spade are removed from a well shuffled pack of 52 cards and a card is drawn from the remaining pack. The probability of getting a black face card isa)12/50b)7/49c)3/49d)9/50Correct answer is option 'C'. Can you explain this answer?.
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