Mathematics
Face cards of spades are remove from the pack of 52 cards and the remaining cards are well shuffled. Then a card is drawn from the pack.
Statement (1): The probability of drawing a face card is .
Statement (2): Kings, queens and jacks are the three face card and so the total number of face cards in the pack of 52 card is 3 x 4 = 12.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Probability
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Answer
In a standard deck of 52 playing cards, each suit (hearts, diamonds, clubs, spades) contains 3 face cards: Jack, Queen, and King. Therefore, the total number of face cards in the deck is:
3 x 4 = 12
So, statement 2 is true.
After removing the face cards of spades (Jack, Queen, King), we are left with = 12 - 3 = 9 face cards.
The total number of remaining cards in the deck = 52 - 3 = 49.
By formula; the probability of an event =
Thus, the probability of drawing a face card from the remaining 49 cards = .
So, statement 1 is false.
∴ Statement 1 is false, and statement 2 is true.
Hence, option 4 is the correct option.
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