ts on k. point B is used when constructing a triangle ng three of the named poin
ID: 3276714 • Letter: T
Question
ts on k. point B is used when constructing a triangle ng three of the named points as On a TV game a is fixed to a wall. e show, a player spins a wheel ateely around its centre point. Its rim s freely around its centre ivided equally into 12 regions. of the regions are coloured blue e of 3,000 for the player 3,0 resenting a prize of the regions are coloured green, each Two o enting a prize of 10,000 for the plyercoloured grey, n are coloured grey, each representing a prize of 1,000 for the player When the wheel stops, an arrow fixed to the wall points to one of the regions. All the regions are equally likely to stop at the arrow. The colour of the region decides the amount the player wins. 0 Find the probability that the player wins: Arrow (b) 10,000 (a) 1,000 3,000. Describe how the accountant arrived at this amount. the show runs once a week for 15 weeks and the wheel is spun once per show? Comment (i) The TV station accountant calculates that the average payout for one spin per show is (ii) Hence or otherwise, how much prize money should the TV station expect to pay out if on your answer.Explanation / Answer
Total number of blocks = 12.
Break up of blocks:
3-Blue-3000$
2-Green-10000$
7-Grey-1000$
(a) So, probability for 1000$ = 7C1 / 12C1 = 7/12
probablity for 10000$= 2C1/12C1 = 1/6
(b) Total pay for 12 blocks--> (3000*3+10000*2+1000*7) = 36000$
So for 1 block= 36000/12 = 3000$.
(c) Total pay for 15 weeks (once/week) = 15*36000 = 540000
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