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A person plays a game of tossing a coin ...

A person plays a game of tossing a coin thrice. For each head, he is, given Rs 2 by the organiser of the game and for each tail, he has to give Rs. '1.50' to the organiser. Let 'X' -denote the amount gained or lost by the person. Show that 'X' is a random variable and exhibit it as a function on the sample space of the experiment.

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A fair coin is tossed four times and a person win Rs. 1 for each head and lose Rs. 1.50 for each tail that turns up. From the sample space calculate how many different amounts of money you can have after four tosses and the probability of having each of these amounts.

A fair coin is tossed four times and a person win Re 1 for each head and lose Rs. '1.50' for each tail that turns up. From the sample space calculate how many different amounts of money you can have after four tosses and the probability of having each of these amounts.

In each of the following experiments specify appropriate sample space i) A boy has a 1 rupee coin, a 2 rupee coin and a 5 rupee coin in his pocket. He takes out two coins out of his pocket, one after the other. ii) A person is noting down the number of accidents along a busy highway during a year.

V PUBLICATION-PROBABILITY-QUESTION BANK
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  3. A person plays a game of tossing a coin thrice. For each head, he is, ...

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  9. An urn contains 5 red and 2 black identical balls. Two balls are rando...

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  10. Let X represent the absolute difference between the number of heads an...

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  12. Find the probability distribution of the number of sucesses in two tos...

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  13. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs...

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  14. A coin is tossed so that the head is 3 times as likely to occur as tai...

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  15. Find the mean number of heads in three tosses of a fair coin.

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  17. Two numbers are selected at random (without replacement) from the firs...

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  18. Let 'X' denote the sum of the numbers obtained when two fair dice are ...

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