Suppose you roll a fair, six-sided number cube.
List the sample space.
List one possible event.
Calculate the probability of that event.
What could possibly happen when you toss a single die?
Name one of those.
How many possible outcomes are there if the cube has 6 sides?????
The first part idk
3
6 outcomes
To find the answers to your questions, we first need to understand what a sample space and an event are when rolling a fair, six-sided number cube.
1. Sample Space:
The sample space is the set of all possible outcomes of an experiment. In this case, rolling a fair, six-sided number cube means there are six equally likely outcomes, which are the numbers 1, 2, 3, 4, 5, and 6. So the sample space for this experiment is {1, 2, 3, 4, 5, 6}.
2. Event:
An event is a subset of the sample space, which means it is a collection of one or more outcomes. For example, rolling an even number could be considered an event, as it is a subset of the sample space and includes the outcomes {2, 4, 6}.
3. Probability Calculation:
To calculate the probability of an event, we divide the number of favorable outcomes (outcomes that satisfy the event) by the total number of possible outcomes (sample space). In this case, we can calculate the probability of rolling an even number by dividing the number of favorable outcomes (3) by the total number of outcomes (6).
So, the answers to your questions are as follows:
1. The sample space for rolling a fair, six-sided number cube is {1, 2, 3, 4, 5, 6}.
2. One possible event could be rolling an even number, which is the subset {2, 4, 6}.
3. To calculate the probability of rolling an even number, we divide the number of favorable outcomes (3) by the total number of outcomes (6):
Probability = favorable outcomes / total outcomes
= 3 / 6
= 1/2
= 0.5
Therefore, the probability of rolling an even number is 0.5 or 50%.