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All Red Face Cards Are Removed from a Pack of Playing Cards. the Remaining Cards Were Well Shuffled and Then a Card is Drawn at Random from Them. Find the Probability that the Drawn Card is - CBSE Class 10 - Mathematics

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Question

All red face cards are removed from a pack of playing cards. The remaining cards were well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is

(i) a red card

(ii) a face card

(iii) a card of clubs

Solution

Total number of cards in a deck = 52

Number of red face cards in a deck = 6

Number of cards left in the deck if all red face cards are removed = 526 = 46

(i)Total number of red cards left in the deck = 266 = 20

Probability that the card drawn is red = `"Total favourable number of cards"/"Total number of cards"=20/46=10/23`

 

(ii)Total number of face cards left in the deck = 126 = 6

Probability that the card drawn is a face card = `"Total favourable number of cards"/"Total number of cards"=6/46=3/23`

(iii)Total number of cards of clubs in the deck = 13

Probability that the card drawn is a card of clubs = `"Total favourable number of cards"/"Total number of cards"=13/46`

 

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Solution All Red Face Cards Are Removed from a Pack of Playing Cards. the Remaining Cards Were Well Shuffled and Then a Card is Drawn at Random from Them. Find the Probability that the Drawn Card is Concept: Probability Examples and Solutions.
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