APPSC Group 1 Prelims 2023 Paper 2 · Question 29

Question 29 of the APPSC Group-I Prelims 2023 Paper II (8 January 2023). Try it first, then open the answer and explanation.

1. Prelims 2023 · P-II · Q29 · Mental Ability & Reasoning · Arithmetic

   Anand and Rishi are the two biggest competitors of chess. The probability of Rishi losing a game against Anand is 75%. What is the probability that Anand loses at least one out of the four games played between them ?

   ఆనంద్ మరియు రిషి చెస్‌లో ఇద్దరు పెద్ద పోటీదారులు. ఆనంద్‌తో జరిగిన మ్యాచ్‌లో రిషి ఓడిపోయే అవకాశం 75%. వారి మధ్య ఆడిన నాలుగు గేమ్‌లలో ఆనంద్ కనీసం ఒకదానిలోనైనా ఓడిపోయే సంభావ్యత ఏమిటి ?

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   Answer: 175/256

   సమాధానం: 175/256

   Anand wins a game with probability 3/4, so he wins all four with probability (3/4)⁴ = 81/256. The probability that he loses at least one is 1 − 81/256 = 175/256.

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