Question
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.
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Let X denote the number of hours you study during a randomly selected school day The probability that X can take the values x. has the following form, where k is some unknown constant.\displaystyle{P}{\left({X}={x}\right)}={\left\lbrace{0}.{1}{\quad\text{if}\quad}{x}={0},{k}{x}{\quad\text{if}\quad}{x}={1},{2}{k}{\left({5}-{x}\right)}{\quad\text{if}\quad}{x}={3}{\quad\text{or}\quad}{4},{0}{o}{t}{h}{e}{r}{w}{i}{s}{e}\right.}Stuck on the question or explanation?
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Question Text | 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. |