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A and B toss a coin alternately till one...

A and B toss a coin alternately till one of them gets a head and wins the game. If A starts the game, find the probability that B will win the game.

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To solve the problem of finding the probability that B will win the game when A and B toss a coin alternately, we can break it down step by step. ### Step 1: Understand the Game A and B are tossing a coin alternately, starting with A. The game continues until one of them gets a head. If A gets a head, A wins; if B gets a head, B wins. ### Step 2: Determine the Winning Scenarios for B 1. **B can win on the 2nd toss:** - A must toss a tail (probability = 1/2). ...
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RD SHARMA-PROBABILITY-Solved Examples And Exercises
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  2. A bag contains 8 red and 3 green balls. Three balls are drawn one afte...

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  3. A and B toss a coin alternately till one of them gets a head and wins ...

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  4. Two cards are drawn from a well shuffled pack of 52 cards one after ...

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  5. Tickets are numbered from 1 to 10. Two tickets are drawn one after the...

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  6. In  a family the husband tells a lie in 30% cases and the wife in 3...

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  7. A husband and wife appear in an interview for two vacancies for the ...

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  8. A bag contains 7 white, 5 black and 4 red balls. Four balls are drawn ...

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  9. A, B, and C are independent witness of an event which is known to have...

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  10. A bag contains 4 white, 2 black balls another contains 3 white balls...

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  11. A bag contains 4 white , 7black and 5 red balls. 4 balls are drawn wit...

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  12. A bag contains 4 red and 5 black balls, a second bag contain 3 red and...

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  13. There are three urns. A, B, and C . Urn A contains 4 red balls and  3 ...

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  14. A and B take turns in throwing two dice, the first to throw 9 being ...

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  15. Fatima and John appear in an interview for two vacancies for the same ...

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  16. A bag contains 8 marbles of which 3 are blue and 5 are red. One marble...

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  17. An urn contains 7 red and 4 blue balls. Two balls redrawn at random ...

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  18. A card is drawn from a well shuffled deck of 52 cards. The outcome is ...

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  19. Out of 100 students two sections of 40 and 60 are formed If you and y...

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  20. A bag contains 4 red and 3 black balls. A second bag contains 2 red an...

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