Class 10 Exam > Class 10 Questions > One card is drawn from a deck of 52 cards. Th...
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One card is drawn from a deck of 52 cards. The probability of drawing a black card is
- a)1/52
- b)1/2
- c)1/4
- d)1/3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
One card is drawn from a deck of 52 cards. The probability of drawing ...
Explanation: A standard deck of 52 cards contains 26 black cards (13 spades and 13 clubs).
The total number of cards = 52.
The number of black cards = 26.
Probability = (Number of black cards) / (Total number of cards) = 26/52 = 1/2.
Most Upvoted Answer
One card is drawn from a deck of 52 cards. The probability of drawing ...
There are total 52 cards which consist of 13 suits each of club,spade, diamond and heart.Out of these club and spades are black card and, heart are dimond are red cards.
So there are total 26 black card and hence the probability of getting a black card from the deck of 52 card is 26/52=1/2
So there are total 26 black card and hence the probability of getting a black card from the deck of 52 card is 26/52=1/2
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Community Answer
One card is drawn from a deck of 52 cards. The probability of drawing ...
Probability of drawing a black card from a deck of 52 cards
To solve this problem, let's break it down into smaller steps and calculate the probability step by step.
Step 1: Determine the number of black cards in a deck
A standard deck of 52 playing cards consists of 26 black cards (clubs and spades) and 26 red cards (hearts and diamonds).
Step 2: Determine the total number of cards in a deck
A standard deck of cards contains 52 cards in total.
Step 3: Calculate the probability of drawing a black card
The probability of an event occurring is defined as the number of favorable outcomes divided by the total number of possible outcomes.
In this case, the favorable outcome is drawing a black card, and the total number of possible outcomes is the total number of cards in the deck.
The probability of drawing a black card can be calculated as:
Probability = Number of favorable outcomes / Total number of possible outcomes
Number of favorable outcomes:
As mentioned in step 1, there are 26 black cards in a deck.
Total number of possible outcomes:
As mentioned in step 2, there are 52 cards in a deck.
Therefore, the probability of drawing a black card can be calculated as:
Probability = 26 / 52
Simplifying the fraction, we get:
Probability = 1 / 2
Conclusion:
Hence, the correct answer is option 'B', which states that the probability of drawing a black card from a deck of 52 cards is 1/2.
To solve this problem, let's break it down into smaller steps and calculate the probability step by step.
Step 1: Determine the number of black cards in a deck
A standard deck of 52 playing cards consists of 26 black cards (clubs and spades) and 26 red cards (hearts and diamonds).
Step 2: Determine the total number of cards in a deck
A standard deck of cards contains 52 cards in total.
Step 3: Calculate the probability of drawing a black card
The probability of an event occurring is defined as the number of favorable outcomes divided by the total number of possible outcomes.
In this case, the favorable outcome is drawing a black card, and the total number of possible outcomes is the total number of cards in the deck.
The probability of drawing a black card can be calculated as:
Probability = Number of favorable outcomes / Total number of possible outcomes
Number of favorable outcomes:
As mentioned in step 1, there are 26 black cards in a deck.
Total number of possible outcomes:
As mentioned in step 2, there are 52 cards in a deck.
Therefore, the probability of drawing a black card can be calculated as:
Probability = 26 / 52
Simplifying the fraction, we get:
Probability = 1 / 2
Conclusion:
Hence, the correct answer is option 'B', which states that the probability of drawing a black card from a deck of 52 cards is 1/2.
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One card is drawn from a deck of 52 cards. The probability of drawing a black card isa)1/52b)1/2c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about One card is drawn from a deck of 52 cards. The probability of drawing a black card isa)1/52b)1/2c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One card is drawn from a deck of 52 cards. The probability of drawing a black card isa)1/52b)1/2c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer?.
One card is drawn from a deck of 52 cards. The probability of drawing a black card isa)1/52b)1/2c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about One card is drawn from a deck of 52 cards. The probability of drawing a black card isa)1/52b)1/2c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One card is drawn from a deck of 52 cards. The probability of drawing a black card isa)1/52b)1/2c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer?.
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