Colacolaking
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- Jun 3, 2020
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The national lottery is overhauled and the game is altered in the following manner:
(a)Each week the numbers used are changed, in week one the numbers are 1 to 100 in week two the numbers are 101 to 200, in week three the numbers are 201 to 300 and so on.
(b)Each week exactly one number is drawn out at random.
(c)A customer buys a ticket (it contains no mention of any type of number) and the customer wins one pound if the number drawn is a prime number.
Plot the probability of winning the lottery as a function of the week number, how much should Camelot charge to play the game in the limit when the number of weeks is large?
(a)Each week the numbers used are changed, in week one the numbers are 1 to 100 in week two the numbers are 101 to 200, in week three the numbers are 201 to 300 and so on.
(b)Each week exactly one number is drawn out at random.
(c)A customer buys a ticket (it contains no mention of any type of number) and the customer wins one pound if the number drawn is a prime number.
Plot the probability of winning the lottery as a function of the week number, how much should Camelot charge to play the game in the limit when the number of weeks is large?