The union inside represents all En, that is roughly speaking, the events that the experiment stops after some n. The complement then is the event that a 6 never appears.
First let's consider the sample space. This is a difficult, largely theoretical question. Consider first an integer n that denotes the quantity of rolls required for a 6 to materialize. Any positive integer value, including 1 is allowed for n.
The sample space consists of all possible outcomes of this experiment which is dicult to write out, so we write it out abstractly instead. Let (x1; x2; : : : ; xn1; xn) be the vector of possible outcomes of the experiment. Each xi is a number that represents how many pips appeared on the dice during the ith experiment.
All these characteristics should be present in a proper response:
- denition of n,
- vector of possible outcomes,
- vector correctly noted with the constraints
<h3>
What is the sample point of rolling a die?</h3>
The total number of outcomes equals the size of the sample space. For instance, the sample space while rolling a single die is either 1, 2, 3, 4, 5, or 6. Thus, the sample space has a size of 6. The size of the event space must then be determined.
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