Answer
Set: {A♡,2♡,3♡,4♡,5♡,6♡,7♡,8♡,9♡,10♡,A♦2♦,3♦,4♦,5♦,6♦,7♦,8♦,9♦,10♦}
Probability: 20/52 or 38.5%
Work Step by Step
The set of all red cards that are not face cards would be cards A-10 of the diamond and heart suits, giving us 20 possible outcomes that meet this criteria. The probability of pulling one of these cards from a mixed up deck would then be 20/52 * 100, or 38.5%