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All Kings, Queens and Aces Are Removed from a Pack of 52 Cards. the Remaining Cards Are Well-shuffled and Then a Card is Drawn from It. Find the Probability that the Drawn Card is a Black Face Card. - Mathematics

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Question

All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is drawn from it. Find the probability that the drawn card is a black face card.

Short/Brief Note
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Solution

There are 4 kings, 4 queens and 4 aces. These are removed.

Thus, remaining number of cards = 52 − 4 − 4 − 4 = 40.

 Number of black face cards now = 2 (only black jacks).

∴ P(getting a black face card) =`("Number of favourable outcomes")/"Number of all possible outcomes"`

Thus, the probability that the drawn card is a black face card is `1/20`.

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Chapter 15: Probability - Exercise 15B [Page 698]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 15 Probability
Exercise 15B | Q 23.1 | Page 698
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