Question

In a particular game of​ chance, a wheel consists of 42 slots numbered​ 00, 0,​ 1, 2,...,40. To play the​ game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. Determine the sample space for one spin of this game.

Answer 1

The sample space for one spin of this game is: S = {00, 0, 1, 2, 3,…, 40}

Explanation:

Consider the provided information.

In probability theory, the set of all possible outcomes or outcomes of that experiment is the sample space of an experiment or random trial. Using set notation, a sample space is usually denoted and the possible ordered outcomes are identified as elements in the set.

Here the possible number of elements in the set are 00, 0, 1, 2,...,40

The sample space is anything the ball can land on.

Thus, the sample space for one spin of this game is: S = {00, 0, 1, 2, 3,…, 40}