If the cards are placed upside down, this makes the choice made whenever a card is drawn a random probability.
There are 4 different cards in the arrangement and only 1 card with a heart on it.
Therefore, the probability of picking a heart is:
[tex]P(\text{heart)}=\frac{1}{4}[/tex]Now the probability of not picking a heart is:
[tex]\begin{gathered} P(\text{NOT heart)=1-P(heart)} \\ \\ P(\text{NOT heart) = 1-}\frac{1}{4}=\frac{3}{4} \end{gathered}[/tex]Therefore, the final answer is 3/4