A favorable outcome refers to a specific result that is considered desirable or advantageous in a given situation. On the other hand, a possible outcome is any potential result that could occur, regardless of desirability. In probability theory, the likelihood of a favorable outcome is often calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
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Given a specific event, a favourable outcome is when that event occurs. A possible outcome is an event that can occur.
The outcome that is the top number on a fraction. e.g. The multiples of 3 are 3 and 6 = there are 2 favourable outcomes. Probability ( multiple of 3 ) + 2/6 = two favourable outcomes/six possible outcomes
A possible outcome is an element of the outcome space. All possible outcomes make up the outcome space.
The treatment effect is the difference between the observed outcome and the "normal" outcome
Favourable outcomes in a series of trials are those where the outcome is what you are looking for. The word "favourable" has positive connotations in normal usage but that should not be applied here. For example, if I am studying the spread of a fatal infectious diseases, the event that would be looking for is that someone gets infected. In all likelihood, no one will consider that to be favourable in the normal sense! The probability of an event is the ratio of the favourable outcomes to the total number of trials.
This is just the outcome you are looking for. For example if you have 5 students who like hockey, 2 that like basketball, and 3 that like baseball. You then decide...I want to know if I draw a student's name from a hat, who would like...baseball... then... Favourable outcome / possible outcome. In this case it would be baseball/all sports. 3/10. Hope this helps.