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From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a black king is
- a)3/26
- b)1/3
- c)1/26
- d)1/2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
From a well shuffled pack of 52 cards, one card is drawn at random. Th...
Number of possible outcomes = 2
Number of Total outcomes = 52
∴ Required Probability = 2/52 = 1/26
Number of Total outcomes = 52
∴ Required Probability = 2/52 = 1/26
Most Upvoted Answer
From a well shuffled pack of 52 cards, one card is drawn at random. Th...
To find the probability of drawing a black king from a well-shuffled pack of 52 cards, we need to determine the number of favorable outcomes (black kings) and the total number of possible outcomes (total number of cards).
Favorable Outcomes:
There are 2 black kings in a deck of cards, namely the King of Spades and the King of Clubs. Therefore, the number of favorable outcomes is 2.
Total Outcomes:
There are 52 cards in a deck, and since we are drawing only one card, the total number of possible outcomes is 52.
Probability:
Probability is defined as the ratio of favorable outcomes to total outcomes. Therefore, the probability of drawing a black king can be calculated as:
Probability = (Number of Favorable Outcomes) / (Total Number of Outcomes)
Plugging in the values, we have:
Probability = 2 / 52
Simplifying the fraction, we get:
Probability = 1 / 26
Hence, the correct answer is option 'C' - 1/26.
Explanation:
The probability of drawing a black king from a well-shuffled pack of 52 cards is 1/26. This means that for every 26 cards drawn, on average, one of them will be a black king. This probability can also be understood by considering the fact that there are 4 kings in a deck (2 black and 2 red), and we are interested in drawing a black king. Since there are 52 cards in total, the probability of drawing a black king is the ratio of the number of black kings to the total number of cards.
Favorable Outcomes:
There are 2 black kings in a deck of cards, namely the King of Spades and the King of Clubs. Therefore, the number of favorable outcomes is 2.
Total Outcomes:
There are 52 cards in a deck, and since we are drawing only one card, the total number of possible outcomes is 52.
Probability:
Probability is defined as the ratio of favorable outcomes to total outcomes. Therefore, the probability of drawing a black king can be calculated as:
Probability = (Number of Favorable Outcomes) / (Total Number of Outcomes)
Plugging in the values, we have:
Probability = 2 / 52
Simplifying the fraction, we get:
Probability = 1 / 26
Hence, the correct answer is option 'C' - 1/26.
Explanation:
The probability of drawing a black king from a well-shuffled pack of 52 cards is 1/26. This means that for every 26 cards drawn, on average, one of them will be a black king. This probability can also be understood by considering the fact that there are 4 kings in a deck (2 black and 2 red), and we are interested in drawing a black king. Since there are 52 cards in total, the probability of drawing a black king is the ratio of the number of black kings to the total number of cards.
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From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a black king isa)3/26b)1/3c)1/26d)1/2Correct answer is option 'C'. Can you explain this answer?
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