Complementary events
Complementary events is a Aptitude concept from the MPSC syllabus, tested in 2 past MPSC questions (2021, 2022). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
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एका पिशवीमध्ये 2 लाल, 3 हिरवे आणि 2 निळे चेंडू आहेत. जर यादृच्छिकतेने दोन चेंडू काढले तर त्यात एकही चेंडू निळा नसण्याची संभाव्यता किती?
Total balls = 7 (2 red, 3 green, 2 blue). Non-blue balls = 5 (2 red + 3 green). Probability of drawing 2 non-blue balls is C(5,2) / C(7,2).
एका पिशवीमध्ये 3 पांढरे, 2 निळे व 5 लाल चेंडू आहेत. जर यादृच्छिक पद्धतीने पिशवीमधून 1 चेंडू जर काढला, तर काढलेला चेंडू लाल नाही, याची संभाव्य्ता किती आहे ?
Total balls = 3 (white) + 2 (blue) + 5 (red) = 10 balls. The probability of getting a red ball is 5/10 = 1/2. Therefore, the probability of not getting a red ball is 1 - 1/2 = 1/2.