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One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is: an ace(ii) red  (iii) either red or king (iv) red and a king.

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To solve the problem, we will calculate the probability for each of the specified events step by step. ### Step 1: Probability of drawing an Ace 1. **Identify the total number of cards in the pack**: There are 52 cards in total. 2. **Identify the number of Aces in the pack**: There are 4 Aces (one for each suit: hearts, diamonds, clubs, and spades). 3. **Calculate the probability**: \[ ...
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RD SHARMA-PROBABILITY -All Questions
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  2. What is the probability that a number selected from the number 1,2,...

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  3. One card is drawn from a pack of 52 cards, each of the 52 cards being ...

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  4. The king, queen and jack of clubs are removed from a deck of 52 playin...

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  5. From a pack of 52 playing cards Jacks, queens, kings and aces of red ...

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  6. A piggy bank contains hundred 50 paise coins, fifty Rs. 1 coins, twent...

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  7. All jacks, queens and kings are removed from a pack of 52 cards. The ...

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  8. The probability that an year chosen at random has 53 Sundays is :

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  9. Two unbiased coins are tossed simultaneously. Find the probability of ...

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  10. Two dice are thrown. Find the probability of getting an odd number on ...

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  11. In the accompanying, diagram a fair spinner is placed at the centre O ...

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  12. An unbiased die is thrown. What is the probability of getting: (i)an ...

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  13. All red face cards are removed from a pack of playing cards. The re...

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  14. A square dart board is placed in the first quadrant from x=0 to x=6 an...

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  15. In figure, a dart is thrown and lands n the interior of the circle. ...

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  16. Three unbiased coins are tossed together. Find the probability of g...

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  17. A target shown in Figure, consists of three concentric circles of radi...

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  18. Tickets numbered from 1 to 20 are mixed up together and then a ticket ...

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  19. In a family of 3 children, the probability of having at least one boy ...

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  20. Find the probability that a number selected at random from the numbers...

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