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Red Queens and Black Jacks Are Removed from a Pack of 52 Playing Cards. a Card is Drawn at Random from the Remaining Cards, After Reshuffling Them. Find the Probability that the Card Drawn is a Queen - Mathematics

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प्रश्न

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is a queen 

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उत्तर

In a pack of 52 playing cards, there are 2 red queens and 2 black jacks. 
Red queens and black jacks are removed from the pack. Then,
Number of remaining cards = 52 − 4 = 48
∴ Total number of outcomes = 48 

There are 4 queen cards in the pack, out of which 2 red queens are removed.
Number of queens in the remaining pack of cards = 4 − 2 = 2
So, the favourable number of outcomes are 2.
∴ P(getting a queen) = \[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{2}{48} = \frac{1}{24}\]

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पाठ 16: Probability - Exercise 16.1 [पृष्ठ २६]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 16 Probability
Exercise 16.1 | Q 69.4 | पृष्ठ २६

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