still not answered...

[jack_chay]

some asked this question ages ago...

yet it is still not answered (this sounds a little too dramatic) >.<

A 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 4 cm. 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.

Thanks in advance

[götze]

give it time if you become pushy it probably wont be answered. You have to realise we are all humans either in yr 12 or uni and have our own stuff to do so just be patient and eventual somebody will answer it hope you understand cheers

[RKTR]

A player wins a prize if, when a
disc settles, it lies entirely within any one small square.
a small square has sides 4cm . but in this case, we need the disc to lie entirely within a small square. the area available for the centre of the disc in each small square will be 2x2 = 4cm^2
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.
the area available for the centre of the disc in the large square is 18x18 =324 cm^2

a
i. 4/324  ii. 32/324    iii. 16/324  iv. 48/324   v. 224/324

b.
4/324 x 50 + 32/324 x 25 + 16/324 x 12 + 48/324 x 5 = 4.42 cents
C is an integer.
therefore lowest value of C needs to be 5 cents

EDIT : didnt see that there's a ridge round the outside edge at first

[jack_chay]

im sorry but that's not the answer
a i
1/81
ii
8/81
iii
4/81
iv
4/27
v
56/81
b 4.4197 cents. (As the lowest value coin is 5c/,
he can settle for that.)

but thanks for trying

[RKTR]

i just forgot to simplify ..