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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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