Direction: Given question consists of 2 statements, I and II respectiv

1.	Direction: Given question consists of 2 statements, I and II respectively. Please read the questions carefully and decide which of the statement (s) is/are sufficient/necessary to answer the question.What is the probability that 2 drawn pencils are blue when 2 pencils are drawn at random?I: A jar contains 3 red pencils, 4 blue pencils, and 2 black pencils.II: A jar contains 9 pencils of different colors.1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.3. Either statement I or statement II alone is sufficient to answer the question.4. The data in both the statements I and II are not sufficient to answer the questions.5. The data in both the statement I and II together are necessary to answer.
Answer» Correct Answer - Option 1 : The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. From statement I Let the ‘E’ is an event of probability Number of favorable outcomes: ⁴C₂ = 4!/(2! × 2!) = 6 Total number of outcomes = ⁹C₂ = 9!/(2! × 7!) = 36 ⇒ P(E) = (6/36) = 1/6 From statement II The number of pencils of each colour is not given. So, we can’t get the answer. ∴ The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

Direction: Given question consists of 2 statements, I and II respectively. Please read the questions carefully and decide which of the statement (s) is/are sufficient/necessary to answer the question.What is the probability that 2 drawn pencils are blue when 2 pencils are drawn at random?I: A jar contains 3 red pencils, 4 blue pencils, and 2 black pencils.II: A jar contains 9 pencils of different colors.1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.3. Either statement I or statement II alone is sufficient to answer the question.4. The data in both the statements I and II are not sufficient to answer the questions.5. The data in both the statement I and II together are necessary to answer.

Answer» Correct Answer - Option 1 : The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

From statement I

Let the ‘E’ is an event of probability

Number of favorable outcomes: ⁴C₂ = 4!/(2! × 2!) = 6

Total number of outcomes = ⁹C₂ = 9!/(2! × 7!) = 36

⇒ P(E) = (6/36) = 1/6

From statement II

The number of pencils of each colour is not given. So, we can’t get the answer.

∴ The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

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