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If Pat is a bachelor, then Pat is male. This is a ___________condition

a) necessary
b) sufficient
c) both

User Vannen
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1 Answer

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Final answer:

Being a bachelor is a sufficient condition for being male, as it guarantees that Pat is male. However, it is not a necessary condition for being male, because being a bachelor is not required for someone to be male.

Step-by-step explanation:

When we consider the statement 'If Pat is a bachelor, then Pat is male', we can analyze it by understanding the concepts of necessary and sufficient conditions. A sufficient condition guarantees the truth of another; therefore, being a bachelor is sufficient to assert that Pat is male. However, being male is not sufficient to be a bachelor, as not all males are bachelors. Conversely, a necessary condition must be present for the statement to be true; hence, being male is necessary for someone to be a bachelor.

Given this explanation, the original statement suggests that Pat’s being a bachelor is a sufficient condition for Pat being male since it guarantees this truth. However, it is not a necessary condition for being male, as one can be a male without being a bachelor. Therefore, the correct answer to the question is that 'If Pat is a bachelor, then Pat is male' is a sufficient _condition.

User Fabianbru
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