a bag contains 3 red balls and 5 black balls - Wikitechy https://www.wikitechy.com/interview-questions/tag/a-bag-contains-3-red-balls-and-5-black-balls/ Interview Questions Mon, 06 Sep 2021 06:43:37 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png a bag contains 3 red balls and 5 black balls - Wikitechy https://www.wikitechy.com/interview-questions/tag/a-bag-contains-3-red-balls-and-5-black-balls/ 32 32 A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow ? https://www.wikitechy.com/interview-questions/probability/a-bag-contains-4-black-5-yellow-and-6-green-balls-three-balls-are-drawn-at-random-from-the-bag-what-is-the-probability-that-all-of-them-are-yellow/ https://www.wikitechy.com/interview-questions/probability/a-bag-contains-4-black-5-yellow-and-6-green-balls-three-balls-are-drawn-at-random-from-the-bag-what-is-the-probability-that-all-of-them-are-yellow/#respond Wed, 18 Aug 2021 01:37:06 +0000 https://www.wikitechy.com/interview-questions/?p=2026

A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow ?

A. 2/91

B. 1/81

C. 1/8

D. 2/81

Answer : A. 2/91

Explanation:

Total number of balls = 4 + 5 + 6 = 15
Let S be the sample space.
n(S) = Total number of ways of drawing 3 balls out of 15 = 15C3
Let E = Event of drawing 3 balls, all of them are yellow.
n(E) = Number of ways of drawing 3 balls, all of them are yellow = Number of ways of drawing 3 balls from the total 5 = 5C3 (∵ there are 5 yellow balls in the total balls)
P(E) = n(E)/n(S) = 2/91

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