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A square dart board is divided into four equal squares as shown in the figure given below. If a dart hits square APOS, a player wins ₹$100$. If a dart hits square BPOQ, a player loses ₹$50$. If a dart hits square OQCR, a player loses ₹$100$ and if it hits square ORDS, the player will win ₹$25$. A player takes a turn and hits the dart board. What is the probability that
(i) the player loses money?
(ii) the player wins ₹$100$?
(i) the player loses money?
(ii) the player wins ₹$100$?
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Solution: (i) P(the player loses money) $= \frac{2}{4}$ or $\frac{1}{2}$ (1 Mark)
(ii) P(the player wins ₹$100$) $= \frac{1}{4}$ (1 Mark)
(ii) P(the player wins ₹$100$) $= \frac{1}{4}$ (1 Mark)