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APPSC Group 1 Prelims 2023 Paper 2 · Question 37

Question 37 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 · Q37 · Mental Ability & Reasoning · Arithmetic

    A decorative lamp has 2 brown, 3 green and 4 white bulbs. What is the probability of lighting three bulbs such that at least one bulb that glows is white ?

    ఒక అలంకార దీపం 2 గోధుమ, 3 ఆకుపచ్చ మరియు 4 తెలుపు బల్బులను కలిగి ఉంటుంది. కనీసం ఒక బల్బు తెల్లగా వెలిగేలా మూడు బల్బులను వెలిగించే సంభావ్యత ఏమిటి ?

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    Answer: 37/42

    సమాధానం: 37/42

    Ways to choose 3 of 9 bulbs = ⁹C₃ = 84; ways with no white bulb = ⁵C₃ = 10. Probability = 1 − 10/84 = 74/84 = 37/42.

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