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The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the probability that all the three balls are of same color? Statement I: An urn contains some balls of three different colors red, blue and green Statement II: Urn has 6 red balls, 3 blue balls and 4 green balls Statement III: Three balls are drawn at one draw randomly

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the probability that all the three balls are of same color? Statement I: An urn contains some balls of three different colors red, blue and green Statement II: Urn has 6 red balls, 3 blue balls and 4 green balls Statement III: Three balls are drawn at one draw randomly Correct Answer All I, II and III

From statement I and II and III

Three balls can be drawn from 13 balls in 13C3ways

The number of ways of drawing three ball of different color = 6C1 × 3C1 × 4C1 = 72

Required probability = 72/13C3 = 72/286

So, the number of ways of drawing three ball of same color = 1 - (72/286)

∴ All the three statements are required to answer the question

Related Questions

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