Probability

nafishasan wrote:There are 9 teddy-bears in a toy store of two sizes: small and large. All large bears are either red or blue. No blue bears are small. Which of the following bears might exist?


i. A small red bear

ii.A small green bear

iii. A large green bear

A. I and II only
B. I only
C. II only
D. III only
E. II and III only

Let us look at each of the answer choices.

I.
 A small red bear may exist because nothing has been mentioned about the color of small bears.

II. A small green bear
 may exist because nothing has been mentioned about the color of small bears.
III. A large green bear cannot exist because it has been mentioned in the question that all large bears are either red or blue, so there is n possibility that a large bear can be green in color.

The correct answer is A.