मराठी

From a well-shuffled deck of 52 playing-cards, one card is drawn. Find the probability that the card drawn will be a face card of red colour. - Mathematics

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प्रश्न

From a well-shuffled deck of 52 playing-cards, one card is drawn. Find the probability that the card drawn will be a face card of red colour.

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उत्तर

Total number of cards = 52

Total number of outcomes = P(s) = 52

There are 13 cards of each type. The cards of heart and diamond are red in colour. Spade and diamond are black. So, there are 26 red cards and 26 black cards.

There are 26 red cards in a deck and 6 of these cards are face cards (2 kings, 2 queens and 2 jacks). 

P(E) = 6 

Probability of drawing a red face card = `(P(E))/(P(s)) = 6/52 = 3/26`

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