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## A bag contains 5 white balls and 9 red balls. Three balls are drawn from the bag. What is the probability that at least one ball is white?:

Looks like answer posted as 55/182 is wrong. Request to recheck it once again.

Asked by sachinkumarmishra1 | 31 Jan, 2020, 05:17: PM
Total number of balls = 5 + 9 = 14
Total number of ways of drawing 3 balls without replacement = 14 x 13 x 12
There are three different possbilities of drawing 3 balls such that at least one ball is white
Case 1: 1 white 2 red
Number of ways = 5 x 9 x 8
Case 2: 2 white 1 red
Number of ways = 5 x 4 x 9
Case 3: 3 white 0 red
Number of ways = 5 x 4 x 3
Answered by Arun | 02 Feb, 2020, 10:52: AM

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