Example 6-5. A gamester has a disc with a freely revolving needle. The disc is divided into 20 equal sectors by thin lines and the sectors are marked 0, 1, 2, ..., 19. The gamester treats 5 or any multiple of 5 as lucky numbers and zero as a special lucky number. He allows a player to whirl the needle on a charge of 10 paise. When the needdle stops at the lucky number the gamester pays back the player twice the sum charged and at the special lucky number the gamester pays to the player 5 times of the sum charged. Is the game fair ? What is the expectation of the player ?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Example 6-5. A gamester has a disc with a freely revolving needle. The disc is divided
into 20 equal sectors by thin lines and the sectors are marked 0, 1, 2, ..., 19. The gamester
treats 5 or any multiple of 5 as lucky numbers and zero as a special lucky number. He allows a
player to whirl the needle on a charge of 10 paise. When the needdle stops at the lucky number
the gamester pays back the player twice the sum charged and at the special lucky number the
gamester pays to the player 5 times of the sum charged. Is the game fair ? What is the
expectation of the player ?
Transcribed Image Text:Example 6-5. A gamester has a disc with a freely revolving needle. The disc is divided into 20 equal sectors by thin lines and the sectors are marked 0, 1, 2, ..., 19. The gamester treats 5 or any multiple of 5 as lucky numbers and zero as a special lucky number. He allows a player to whirl the needle on a charge of 10 paise. When the needdle stops at the lucky number the gamester pays back the player twice the sum charged and at the special lucky number the gamester pays to the player 5 times of the sum charged. Is the game fair ? What is the expectation of the player ?
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