(iii) (a) For each win, a participant gets ₹$10$, but if he/she loses, he/she has to pay ₹$5$ to the school. If $99$ participants played, calculate how much fund could the school have collecting.

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Step 1: $P(	ext{winning}) = \frac{1}{9}$
Number of people who must win $= \frac{1}{9} 	imes 99 = 11$
Step 2: Game lost by $88$ persons.
Step 3: Funds collected $= 5 	imes 88 - 10 	imes 11 = 440 - 110 =$ ₹$330$

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