Multiple choice

A box contains 4 red, 5 black and 6 green balls. 3 balls are drawn at random. What is the probability that all the balls are of same colour? एक बॉक्स में 4 लाल, 5 काली और 6 हरी गेंदें होती हैं। 3 गेंदों को यादृच्छिक रूप से निकाला गया है। क्या संभावना है कि सभी गेंदें एक ही रंग की हैं?

  1. 34/455

  2. 17/455

  3. 9/455

  4. 8/455

  5. None of these इनमे से कोई नही|
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A Correct answer
Explanation

Total balls = 15. Drawing 3 same-colored balls means either all 3 red (from 4), all 3 black (from 5), or all 3 green (from 6). Total favorable outcomes = C(4,3) + C(5,3) + C(6,3) = 4 + 10 + 20 = 34. Total possible outcomes = C(15,3) = 455. Probability = 34/455. Option B (17/455) would only account for one color category.

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