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In a hand at Whist, what is the probabil...

In a hand at Whist, what is the probability that four kings are held by a specified player?

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To solve the problem of finding the probability that a specified player holds all four kings in a hand at Whist, we can follow these steps: ### Step 1: Understand the total number of cards and players In a standard deck, there are 52 cards, and in the game of Whist, there are 4 players, each receiving 13 cards. ### Step 2: Calculate the total number of ways to choose 13 cards from 52 The total number of ways to choose 13 cards from a deck of 52 cards is given by the combination formula \( \binom{n}{r} \), where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose. Thus, we calculate: ...
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RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. Find the probability that in a random arrangement of the letters of th...

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  2. In a hand at Whist, what is the probability that four kings are held b...

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  3. A bag contains 8 red, 3 white and 9 blue balls. If three balls are dra...

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  4. How many different words can be formed with the letters of the word CL...

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  5. A card is drawn from a full pack of cards. Find the probability that i...

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  6. Five cards are drawn from a pack of 52 cards. What is the chance that ...

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  7. A and B throw a pair of dice. If A throws 9, find B’s chance of thr...

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  8. A class consists of 10 boys and 8 girls. Three students are selected a...

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  9. A box contains 6 red marbles numbered 1 through 6 and 4 white marbles ...

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  10. 20 cards are numbered from 1 tro 20. One card is drawn at random. What...

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  11. A card is drawn at random from a pack of 52 cards. Find  the probabili...

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  12. A bag contains 7 white, 5 black and 4 red balls, find the probability ...

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  13. If n persons are seated on a round table, what is the probability tha...

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  14. There are 4 letters and 4 addressed envelopes. Find the probability ...

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  15. Each coefficient in the equation a x^2+b x+c=0 is determined by throwi...

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  16. Prove that a^3+b^3+c^3-3abc=1/2(a+b+c){(a-b)^2+(b-c)^2+(c-a)^2}

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  17. Three squares of Chess board are selected at random. Find the probab...

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  18. In a simultaneous throw of a pair of dice, find the probability of g...

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  19. In a single throw of three dice, find the probability of getting a tot...

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  20. A bag contain 8 red and 5 white balls. Three balls are drawn at random...

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