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All the Black Face Cards Are Removed from a Pack of 52 Cards. the Remaining Cards Are Well Shuffled and Then a Card is Drawn at Random. Find the Probability of Getting Black Card - Mathematics

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प्रश्न

All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting black card  

योग

उत्तर

In a pack of 52 playing cards, there are 2 black jacks, 2 black queens and 2 black kings. 
All the black face cards are removed from the pack. Then,
Number of remaining cards = 52 − 6 = 46
∴ Total number of outcomes = 46 

Number of black cards in the remaining pack of cards = 26 − 6 = 20
So, the favourable number of outcomes are 20.
∴ P(getting a black card) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{20}{46} = \frac{10}{23}\]

 

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अध्याय 16: Probability - Exercise 16.1 [पृष्ठ २६]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 16 Probability
Exercise 16.1 | Q 65.3 | पृष्ठ २६

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