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Refer to Q. 10 above. What is the probab...

Refer to Q. 10 above. What is the probability that the card is :
(i) a club? (ii) 10 of heart?

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To solve the problem, we need to find the probabilities of two events regarding a standard deck of cards. ### Step-by-Step Solution: 1. **Total Number of Cards**: A standard deck of cards has a total of 52 cards. 2. **(i) Probability of Drawing a Club**: - There are 4 suits in a deck: clubs, diamonds, hearts, and spades. - Each suit has 13 cards. Therefore, the number of clubs in the deck is 13. - The probability of drawing a club can be calculated using the formula: \[ P(\text{Club}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{13}{52} \] - Simplifying this fraction: \[ P(\text{Club}) = \frac{1}{4} \] 3. **(ii) Probability of Drawing the 10 of Hearts**: - There is only one 10 of hearts in the deck. - Thus, the number of favorable outcomes for drawing the 10 of hearts is 1. - The probability of drawing the 10 of hearts is calculated as follows: \[ P(\text{10 of Hearts}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{52} \] ### Final Answers: - (i) The probability of drawing a club is \( \frac{1}{4} \). - (ii) The probability of drawing the 10 of hearts is \( \frac{1}{52} \).
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OSWAL PUBLICATION-PROBABILITY-NCERT CORNER ( Exercise-13.3)
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  2. A coin is tossed 3 times. List the possible outcomes, find the probabi...

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  3. Two dice are thrown at the same time. Determine the probability that t...

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  4. A bag contains 10 red 5 blue and 7 green balls. A ball is drawn at ran...

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  5. The King, Queen, and Jack of clubs are removed from a deck of 52 playi...

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  6. Refer to Q. 10 above. What is the probability that the card is : (i)...

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  7. All the jacks, queens and kings are removed from a deck of 52 playing ...

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  8. An integer is chosen between 0 and 100. What is the probability that i...

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  9. Cards with numbers 2 to 101 are placed in a box. A card is selected at...

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  10. A letter of English alphabets is chosen at random.Determine the probab...

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  11. There are 100 sealed envelops in a box, 10 of them contain a cash priz...

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  12. Box A contains 25 slips of which 19 are marked 1 and other are marked ...

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  13. A carton of 24 bulbs contain 6 defactive bulbs. One but is drawn at ra...

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  14. A child's game has 8 triangle of which 3 are blue and rest are red, an...

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  15. In a game, the entry fee is of 5. The game consists of a tossing a coi...

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  16. A die has six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown ...

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  17. A die has six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown ...

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  18. A lot consists of 48 mobile phones of which 42 are good, 3 have only m...

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  19. A bag contains 24 balls of which x are red, 2x are white and 3x are bl...

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  20. At a fete, cards bearing number 1 to 1000, one number on one card,are ...

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