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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A and B throw a die in succession to win a bet with A starting first.
Whoever throws ‘1’ first wins Rs. 110.
What are the respective expectations of A and B?
Solution
Let $P_A$ = probability A wins. $P_A = \dfrac{1}{6} + \dfrac{5}{6}\cdot\dfrac{5}{6} P_A$
Solving:
$P_A = \dfrac{6}{11}$
$P_B = \dfrac{5}{11}$
Expected money:
$E_A = 110 \cdot \dfrac{6}{11} = 60$
$E_B = 110 \cdot \dfrac{5}{11} = 50$
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