MATH 3332 Lecture Notes - Lecture 2: Sample Space
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An experiment consists of tossing two fair dice. The outcome is the higher score out of the two. For example, if the first die ends up 3 and the other one 6, then the outcome is 6. (a) find the sample space, i. e. , the set of all possible outcomes. The same space of all possible outcomes would be = {1, 2, 3, 4, 5, 6}. One through 6 are the 6 sides of the dice. Allowing six different possibilities. (b) find the pdf corresponding to this experiment. There are 6 possible outcomes based on the dice. There is one possibility where the one will be greater than another possibility. When all the possibilities are added up there are 21 possible outcomes. Therefore, we put the pdf over 21. (c) find the probability of getting an even number. The probability of getting an even number is more probable when rolling two dice than getting an odd.
