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A card is drawn from a well-shuffled pack of playing cards. The probability that it is the ace of clubs is
- a)1/13
- b)¼
- c)1/52
- d)none
Correct answer is option 'C'. Can you explain this answer?
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A card is drawn from a well-shuffled pack of playing cards. The probab...
Probability of drawing the ace of clubs
To find the probability of drawing the ace of clubs from a well-shuffled pack of playing cards, we need to determine the number of favorable outcomes (drawing the ace of clubs) and the total number of possible outcomes (the number of cards in the deck).
Favorable outcomes
In a standard deck of playing cards, there is only one ace of clubs. Therefore, the number of favorable outcomes is 1.
Total number of possible outcomes
A standard deck of playing cards consists of 52 cards. Therefore, the total number of possible outcomes is 52.
Probability calculation
The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, the probability of drawing the ace of clubs is:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 1 / 52
Therefore, the probability of drawing the ace of clubs from a well-shuffled pack of playing cards is 1/52.
Explanation of option 'C'
Option 'C' states that the probability is 1/52, which matches our calculated probability. Therefore, option 'C' is the correct answer.
Summary
The probability of drawing the ace of clubs from a well-shuffled pack of playing cards is 1/52. This means that out of the 52 cards in the deck, only one of them is the ace of clubs.
To find the probability of drawing the ace of clubs from a well-shuffled pack of playing cards, we need to determine the number of favorable outcomes (drawing the ace of clubs) and the total number of possible outcomes (the number of cards in the deck).
Favorable outcomes
In a standard deck of playing cards, there is only one ace of clubs. Therefore, the number of favorable outcomes is 1.
Total number of possible outcomes
A standard deck of playing cards consists of 52 cards. Therefore, the total number of possible outcomes is 52.
Probability calculation
The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, the probability of drawing the ace of clubs is:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 1 / 52
Therefore, the probability of drawing the ace of clubs from a well-shuffled pack of playing cards is 1/52.
Explanation of option 'C'
Option 'C' states that the probability is 1/52, which matches our calculated probability. Therefore, option 'C' is the correct answer.
Summary
The probability of drawing the ace of clubs from a well-shuffled pack of playing cards is 1/52. This means that out of the 52 cards in the deck, only one of them is the ace of clubs.
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A card is drawn from a well-shuffled pack of playing cards. The probability that it is the ace of clubs isa)1/13b)c)1/52d)noneCorrect answer is option 'C'. Can you explain this answer?
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