three identical chips, each with 0 on one side and 1 on the other, are the tossed simunltaneously.
a. write the sample space
The sample space represents all possible outcomes of an experiment. In this case, the experiment is tossing three identical chips simultaneously. Each chip has two possible outcomes: 0 or 1. Since there are three chips, we can represent the sample space using a Cartesian product:
Sample space = {(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1)}
Therefore, the sample space consists of eight possible outcomes when three identical chips are tossed simultaneously.
To write the sample space, we need to consider all the possible outcomes of tossing the three chips simultaneously. Since each chip has two sides (0 and 1), there are 2 possible outcomes for each chip. Therefore, the total number of outcomes for the three chips can be calculated as 2 multiplied by 2 multiplied by 2, which is equal to 8.
The sample space can be written as follows:
{(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1, 0), (1, 1, 1)}
Each ordered set of three values in curly brackets represents one possible outcome of the three chips being tossed simultaneously.