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A Card is drawn at random from a packof well Shuffled 52 playing Cards findthe probability that the card drawn ise A king Card abd Red Coloured card. |
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Answer» To find: The PROBABILITY of getting (i) A king Card and Red Coloured card. So, There are four different cards, Clubs (black) = 13. Here 1 to 10 and 1 king, 1 queen, and 1 jack Spades (black) = 13. Here 1 to 10 and 1 king, 1 queen, and 1 jack Diamond (red) = 13. Here 1 to 10 and 1 king, 1 queen, and 1 jack Heart (red) = 13. Here 1 to 10 and 1 king, 1 queen, and 1 jack So, A king card = 4 Red colour cards = 13 - 2(king cards, as 2 red king cards are mentioned above) = 11 So, A king and red colour card = 4 + 11 = 15 Therefore, NUMBER of favourable outcomes = 15 Total number of possible outcomes = 52 Hence, Probability = \frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}Probability= Total number of possible outcomes Number of favourable outcomes
So, Probability of getting a king card and a red coloured card is = \frac{15}{52}= 52 15
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