Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- Balls are drawn randomly from a bag and what is the probability of that no ball is yellow. I. There are 5 red, 4 yellow and 2 green balls. II. Two balls are drawn from the bag.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives the ball composition (5 red, 4 yellow, 2 green = 11 total). Statement I alone is insufficient without knowing how many balls are drawn. Statement II says two balls are drawn but gives no composition information. Together: we can calculate P(no yellow) = (7/11)×(6/10) = 42/110 = 21/55. Both statements needed.

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