Please help me solve this problemA game of chance consists of rolling a disc of diameter 2 cm on a horizontal square board. The board is divided into 25 small squares of side 4cm. A player wins a prize if, when a disc settles, it lies entirely within any one small square. There is a ridge round the outside edge of the board so that the disc always bounces back, cannot fall off and lies entirely within the boundary of the large square.
Prizes are awarded as follows:
centre (the middle square) 50c
inner (the eight squares surrounding the centre) 25c
corner (the four corner squares) 12c
outer (any other smaller square) 5c
When no skill is involved, the centre of the disc may be assumed to be randomly distributed over the accessible region.
a Calculate the probability in any one throw of winning:
i 50c ii 25c iii 12c iv 5c v no prize
b The proprietor wishes to make a profit in the long run, but is anxious to charge as little
as possible to attract customers. He charges C cents, where C is an integer. Find the
lowest value of C that will yield a profit.
