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Thursday, August 6, 2009

K . P . B. A .O (Bao=Bun)

K indergarten: 1 bun + 1 bun = ?

P SLE: Amy, Bob and Charlie share 28 buns altogether in the ratio of 2:1:4 respectively. How many buns did Amy receive?

'O' Level: Amy, Bob and Charlie each share a box of buns. Each box contains 5 red buns, three blueberry buns and two coconut buns. Amy picks two buns from her box at random. Find the probability that the two buns are of the same flavour.

'A' Level:Amy's kidneys clearance have a BUN value of 10mg/mmol and Bob's cholesterol have a mass of 60 mg, which is 3 times the value of Amy's kidney clearantine value. Calculate her Urea molecular weight in dl/Urea and mg/dl BUN. (Assume Amy has an age of between 15 to 20)

'B' Level: Amy, Bob and Charlie each share a box of buns. Each box contains 5 red buns, three blueberry buns and two coconut buns. Furthermore, Amy will tie her hair into a bun if Bob either took 5 red buns from the box consecutively or 1 coconut bun from the box. However, if Amy tie her hair into a bun, Charlie will HAVE to take a blueberry bun from the box. Out of the 2 coconut buns, one of them contain a preservative which allows the bread to be kept at room temperature for six days. The other breads are not preserved and therefore, spoils in just 1 day. Every 3 days a week, Bob will have to work 6 hours a day, and 3 hours after buying the bread, he will either take 2 coconut buns or 1 red bean bun. The probability that he will forget to eat the buns is 1 out of every 3 days he works. Everytime he forgets to eat the bun, his colleague will steal one of the 3 buns.
(a) What is the probability of Amy having food poisoning, after eating Bob's colleague's stolen bread?
(b) What is the probability of Amy tying her hair into a bun when Bob goes to work?

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