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The probability that a card drawn from a pack of 52 cards will be of a diamond suit or a King is
- a)1/52
- b)2/13
- c)4/13
- d)1/13
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The probability that a card drawn from a pack of 52 cards will be of ...
There are 13 cards of diamond suit and 4 cards of King in a pack of 52 cards, but one King is of diamond suit.
So, required probability 
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The probability that a card drawn from a pack of 52 cards will be of ...
Probability of drawing a diamond suit or a King:
To find the probability of drawing a card that is either a diamond suit or a King from a standard deck of 52 cards, we need to consider the total number of favorable outcomes and the total number of possible outcomes.
Total Number of Favorable Outcomes:
- There are 4 King cards in a deck, one for each suit (hearts, diamonds, clubs, and spades).
- There are 13 diamond cards in a deck, one for each rank (Ace, 2, 3, ..., 10, Jack, Queen, King).
- However, the King of Diamonds is counted in both categories. So, we subtract 1 from the count of diamond cards.
Total number of favorable outcomes = 4 (King cards) + 13 (diamond cards) - 1 (King of Diamonds)
Total number of favorable outcomes = 16
Total Number of Possible Outcomes:
- There are 52 cards in a standard deck.
Total number of possible outcomes = 52
Probability Calculation:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
Probability = 16 / 52
Probability = 4 / 13
Therefore, the probability that a card drawn from a pack of 52 cards will be of a diamond suit or a King is 4/13.
To find the probability of drawing a card that is either a diamond suit or a King from a standard deck of 52 cards, we need to consider the total number of favorable outcomes and the total number of possible outcomes.
Total Number of Favorable Outcomes:
- There are 4 King cards in a deck, one for each suit (hearts, diamonds, clubs, and spades).
- There are 13 diamond cards in a deck, one for each rank (Ace, 2, 3, ..., 10, Jack, Queen, King).
- However, the King of Diamonds is counted in both categories. So, we subtract 1 from the count of diamond cards.
Total number of favorable outcomes = 4 (King cards) + 13 (diamond cards) - 1 (King of Diamonds)
Total number of favorable outcomes = 16
Total Number of Possible Outcomes:
- There are 52 cards in a standard deck.
Total number of possible outcomes = 52
Probability Calculation:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
Probability = 16 / 52
Probability = 4 / 13
Therefore, the probability that a card drawn from a pack of 52 cards will be of a diamond suit or a King is 4/13.
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The probability that a card drawn from a pack of 52 cards will be of a diamond suit or a King isa)1/52b)2/13c)4/13d)1/13Correct answer is option 'C'. Can you explain this answer?
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