Answer
The events “Paige” and “Gourmet” are not muttually exclusive because $N(Paige~and~Gourmet)=42\ne0$
Work Step by Step
Events are mutually exclusive if they have no outcomes in common.
According to the cell in the second row, first column, the events “Paige” and “Gourmet” have 42 outcomes in common. That is, $N(Paige~and~Gourmet)=42$
So, the events “Paige” and “Gourmet” are not muttually exclusive.