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One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is neither a spade nor a king.
- a)0
- b)9/13
- c)1/2
- d)4/13
Correct answer is option 'B'. Can you explain this answer?
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One card is drawn from a pack of 52 cards , each of the 52 cards being...
There are 13 spades ( including one king). Besides there are 3 more kings in remaining 3 suits
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One card is drawn from a pack of 52 cards , each of the 52 cards being...
Solution:
To find the probability that the card drawn is neither a spade nor a king, we need to find the number of cards that are neither a spade nor a king and divide it by the total number of cards in the deck.
Number of cards that are neither a spade nor a king:
- There are 4 kings in the deck, one for each suit.
- There are 13 spades in the deck, one for each rank.
- There are 1 king of spades in the deck.
- Therefore, there are 4 + 13 - 1 = 16 cards that are either a spade or a king.
- The number of cards that are neither a spade nor a king is 52 - 16 = 36.
Total number of cards in the deck: 52.
Probability that the card drawn is neither a spade nor a king:
- Probability = (Number of cards that are neither a spade nor a king) / (Total number of cards in the deck)
- Probability = 36 / 52
- Probability = 9/13
Therefore, the probability that the card drawn is neither a spade nor a king is 9/13.
To find the probability that the card drawn is neither a spade nor a king, we need to find the number of cards that are neither a spade nor a king and divide it by the total number of cards in the deck.
Number of cards that are neither a spade nor a king:
- There are 4 kings in the deck, one for each suit.
- There are 13 spades in the deck, one for each rank.
- There are 1 king of spades in the deck.
- Therefore, there are 4 + 13 - 1 = 16 cards that are either a spade or a king.
- The number of cards that are neither a spade nor a king is 52 - 16 = 36.
Total number of cards in the deck: 52.
Probability that the card drawn is neither a spade nor a king:
- Probability = (Number of cards that are neither a spade nor a king) / (Total number of cards in the deck)
- Probability = 36 / 52
- Probability = 9/13
Therefore, the probability that the card drawn is neither a spade nor a king is 9/13.
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Community Answer
One card is drawn from a pack of 52 cards , each of the 52 cards being...
Total no. of spade = 13
total no. of kings =4
but one of the king is of spade card which had already counted so rest king cards =3
now, total cards = 52
so...probability of getting neither a king nor a spade card = 52-13+3= 36
that's why probability is 36/52 =9/13
correct option is (B).
total no. of kings =4
but one of the king is of spade card which had already counted so rest king cards =3
now, total cards = 52
so...probability of getting neither a king nor a spade card = 52-13+3= 36
that's why probability is 36/52 =9/13
correct option is (B).
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One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is neither a spade nor a king.a)0b)9/13c)1/2d)4/13Correct answer is option 'B'. Can you explain this answer?
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