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Winning & drawing, mutually exclusive sets

Winning & drawing, mutually exclusive sets

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In question 4 of 4 of mutually exclusive sets the answer is that Winning and drawing are mutually exclusive but not complements.
from the tutorial we know ‘Complements are all values that are part of the sample space but not a part of the set’. therefore ‘drawing vs winning’ seems to match this. And as i understand it, is why even numbers and prime numbers are complements, rather than just odd and even. It is not just opposite values that can be complements?
However, not all mutually exclusive sets are complements, and elements can be complements but not part of other sets which are naturally mutually exclusive
However, just looking at two adjectives of winning and drawing, how do we know how they are defined and that winning and drawing are not part of the same sample space? how would we know that these are not complements. What’s the difference between this, and heads or tails?
If the sample space for example was winning, drawing and losing, then ‘drawing’ and losing would be complements of winning? we do not know from the question however if ‘drawing’ is part of another set without seeing it defined or seeing the context? or is there something I am missing?
if i refer back to the probability frequency distribution tutorial, it states the complement of an event is everything the event is not? is that not the same rule of thumb for complements of a sample space?
Can anyone please clarify?
Also, when we have more than one complement in a sample space, how is this notated?
Lastly, as a point for future development of the training programme, rather than the need to post here each time I do not understand how an answer is reached, could some screentips maybe be introduced to show how an answer is reached or ascertained?
Thanks in advance 
Daniel

1 Answer

365 Team
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Hello again, Daniel!
 
The idea is that these two are mutually exclusive, but aren’t complements precisely because you can also lose a game. 
 
Best, 
365 Vik