Given data:
The given deck of card.
The probability of even number card or face card is,
[tex]\begin{gathered} P(\text{even or face)=P(E)+P(f)} \\ =\frac{20}{52}+\frac{12}{52} \\ =\frac{32}{52} \\ =\frac{4}{13} \end{gathered}[/tex]Thus, the probability of even number card or face card is 4/13.
The probability of numbered card or heart is,
[tex]\begin{gathered} P(x)=\frac{36}{52}+\frac{13}{52}-\frac{9}{52} \\ =\frac{40}{52} \\ =\frac{10}{13} \end{gathered}[/tex]Thus, the probability of numbered card or heart is 10/13.