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From a well shuffled deck of deck of 52 cards, one card is drawn at random. What is the probability that the card drawn is a diamond?
- a)1/2
- b)1/3
- c)1/4
- d)1/13
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
From a well shuffled deck of deck of 52 cards, one card is drawn at ra...
Total number of all possible outcomes = 52
No. of diamonds = 13
P(getting a diamond) =
No. of diamonds = 13
P(getting a diamond) =
Most Upvoted Answer
From a well shuffled deck of deck of 52 cards, one card is drawn at ra...
Probability of Drawing a Diamond Card from a Deck of 52 Cards
To determine the probability of drawing a diamond card from a well-shuffled deck of 52 cards, we need to calculate the ratio of the number of favorable outcomes (drawing a diamond card) to the total number of possible outcomes (drawing any card).
Step 1: Understand the Problem
We are given a well-shuffled deck of 52 cards. We want to find the probability of drawing a diamond card.
Step 2: Identify the Favorable Outcomes
In a standard deck of 52 cards, there are four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards: ace, 2-10, jack, queen, and king.
Since we are interested in drawing a diamond card, we identify the number of favorable outcomes as the number of diamond cards in the deck, which is 13.
Step 3: Identify the Total Number of Possible Outcomes
The total number of possible outcomes is the number of cards in the deck, which is 52.
Step 4: Calculate the Probability
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 13 / 52
Simplifying the fraction, we get:
Probability = 1 / 4
Therefore, the probability of drawing a diamond card from a well-shuffled deck of 52 cards is 1/4, which corresponds to option 'C'.
Answer: Option C (1/4)
To determine the probability of drawing a diamond card from a well-shuffled deck of 52 cards, we need to calculate the ratio of the number of favorable outcomes (drawing a diamond card) to the total number of possible outcomes (drawing any card).
Step 1: Understand the Problem
We are given a well-shuffled deck of 52 cards. We want to find the probability of drawing a diamond card.
Step 2: Identify the Favorable Outcomes
In a standard deck of 52 cards, there are four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards: ace, 2-10, jack, queen, and king.
Since we are interested in drawing a diamond card, we identify the number of favorable outcomes as the number of diamond cards in the deck, which is 13.
Step 3: Identify the Total Number of Possible Outcomes
The total number of possible outcomes is the number of cards in the deck, which is 52.
Step 4: Calculate the Probability
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 13 / 52
Simplifying the fraction, we get:
Probability = 1 / 4
Therefore, the probability of drawing a diamond card from a well-shuffled deck of 52 cards is 1/4, which corresponds to option 'C'.
Answer: Option C (1/4)
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Community Answer
From a well shuffled deck of deck of 52 cards, one card is drawn at ra...
Total no of diamond in cards:13
total no of cards:52
:.13\52
is 1\4.
so, 1\4 is the answer
total no of cards:52
:.13\52
is 1\4.
so, 1\4 is the answer
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From a well shuffled deck of deck of 52 cards, one card is drawn at random. What is the probability that the card drawn is a diamond?a)1/2b)1/3c)1/4d)1/13Correct answer is option 'C'. Can you explain this answer?
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