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Mamont248 [21]
3 years ago
7

Explain how the complement can be used to find the probability of getting at least one item of a particular type

Mathematics
1 answer:
valkas [14]3 years ago
5 0
The outcome A="At least one" means {1,2,3,4,5......n}   where n is the maximum possible outcome.

The only other outcome (B) left (i.e. the complement of the above event "at least one") is (B)={0}.

Therefore, by Kolmogorov's second axiom, A and B are complements, and
P(A)+P(B)=1
therefore
P(A)=1-P(B), or in words,
Probability of outcomes of "at least one" is the complement of the outcome of "0" item.
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