The set of possible outcomes is the set of different ways in which an event might or might not happen. Take a very simple example: If you roll a dice you will roll a 6 or a 5 or a 4 or a 3 or a 2 or a 1. So there are 6 different possible outcomes, all of which are equally probable.
If you roll 2 dice at the same time the possible total scores are are from 2 ( a 1 and a 1) to 12 (a 6 and a 6), so there are 11 possible outcomes, but not all equally probable.
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A sample space is the set of all possible outcomes from an experiment..
how do we analyze favorable and possible outcomes
Possible outcomes of a single dice are 6 ( 1,2,3,4,5,6) So if 5 such dices are rolled then the number of possible outcomes are 6 mulitiplied by 6 five times. 6x6x6x6x6x6=46656 possible outcomes.
If the numbers (or symbols) are all different then 10 outcomes.
The probability of an event occurring can be found by dividing the number of favorable outcomes (what you want to happen) by the number of possible outcomes number of favorable outcomes probability = _________________________ number of possible outcomes