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In a game, a man wins a rupee for a s...

In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins / loses.

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In a game, a man wins rupees five for a six and loses rupee one for any other number, when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins/loses.

In a game, a man wins Rs. 5 for getting a number greater than 4 and loses Rs. 1 otherwise, when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a number greater than 4. Find the expected value of the amount he win/loses.

In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair die and loses Rs 50 for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is: (a) 400/3 gain (b) 400/9 loss (c) 0 (d) 400/3 loss

In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair die and loses Rs 50 for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is: (a) 400/3 gain (b) 400/9 loss (c) 0 (d) 400/3 loss

A man wins a rupee for head and loses a rupee for tail when coin is tossed. Suppose that he tosses once and quits if he wins but tries once more if he loses on the first toss. Find the probability distribution of the number of rupees the man wins.

Three persons A, B, C throw a die in succession till one gets a six and wins the game. Find their respective probabilities of wining , if A begins.

Three persons A,B,C throw a die in succession till one gets a six and wins the game. Find their respective probabilities of winning, if A begins.

Three persons A, B, C throw a die in succession till one gets a six and wins the game. Find their respectively probabilities of winning.

If a person gains or loses an amount equal to the number appearing when an unbiased die is rolled once, according to wether the number is even or odd, how much money can he expect per game in the long run ?

A man throws a die until he gets a number greater than 3 . The probability that he gets 5 in the last throw

RD SHARMA ENGLISH-MEAN AND VARIANCE OF A RANDOM VARIABLE -All Questions
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  6. Find the mean and standard deviation of each of the following proba...

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  13. A discrete random variable X has the probability distribution given be...

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  15. Two cards are drawn simultaneously (or successively without replace...

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  16. Two bad eggs are accidently mixed up with ten good ones. Three eggs ...

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  17. Pair of fair dice is thrown. Let X be the random variable which denote...

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  18. A fair coin is tossed four times. Let X denote the number of heads ...

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  19. A fair die is tossed. Let X denote twice the number appearing. Find...

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