What is the converse, inverse and contrapositive of the implication,”The home team wins whenever it is raining “.

The given proposition is in the form “q whenever p” such that,

q (Conclusion): The home team wins.

p (hypothesis): It is raining.

Converse: q→p is “If the home team wins then it is raining”,

Inverse: ¬p→¬q is “If it is not raining then the home team does not win”.

Contra positive: ¬q→¬p is “If the home team does not win then it is not raining”.