carla can choose two of her three pairs of sneakers to take to a track meet. if the pairs of sneakers are…

carla can choose two of her three pairs of sneakers to take to a track meet. if the pairs of sneakers are called a, b, and c, which choice represents the sample space, s, for the event?\no s = {abc}\no s = {abc, cab}\no s = {ab, ac, bc}\no s = {ab, ba, ac, ca, bc, cb}

carla can choose two of her three pairs of sneakers to take to a track meet. if the pairs of sneakers are called a, b, and c, which choice represents the sample space, s, for the event?\no s = {abc}\no s = {abc, cab}\no s = {ab, ac, bc}\no s = {ab, ba, ac, ca, bc, cb}

Answer

Explanation:

Step1: Understand sample - space concept

The sample space is the set of all possible outcomes. Here, we need to find all pairs of 3 items (A, B, C) when choosing 2 at a time.

Step2: List all pairs

We list the pairs without considering order (since choosing A and B is the same as choosing B and A in terms of which sneakers are taken). The pairs are AB, AC, BC.

Answer:

S = {AB, AC, BC}