Question

A hat contains three ping-pong balls numbered 1, 2, and 3. kim draws one from the hat. then, without replacing the first ball, she draws another. what is the sample space of the experiment?

Answer 1

The answer is B: {(1,2) (1,3) (2,1) (2,3) (3,1) (3,2)}

because she draws two at a time, without replacing the first ball she drew, therefore the two picked cannot be the same number, and also has to be in a pair of two, and B is the only answer that meets that criteria.

Answer 2

Sample space is

{(1,2)(1,3)(2,1)(2,3)(3,1)(3,3)}

Explanation:

Given that A hat contains three ping-pong balls numbered 1, 2, and 3. kim draws one from the hat. then, without replacing the first ball, she draws another

When without replacement drawing is done, the two cannot be the same.

Hence sample space would be 2 out of 3 without repitition

Sample space ={(1,2)(1,3)(2,1)(2,3)(3,1)(3,3)}

Thus sample space consists of 3! since order matters

=6