Try positive reinforcement practices instead of your present method. It seems to me that picking those cards may not be bringing about desired behaviors. I would try finding reinforcers that will motivate your child to repeat "good" behaviors. Keep in mind that satiation occurs quickly and they need to be changed often.
I found this information on the site below. It explains different types of behavior modification plans you may want to consider.
http://allpsych.com/psychology101/reinforcement.html
There are four types of reinforcement: positive, negative, punishment, and extinction. We’ll discuss each of these and give examples.
Positive Reinforcement. The examples above describe what is referred to as positive reinforcement. Think of it as adding something in order to increase a response. For example, adding a treat will increase the response of sitting; adding praise will increase the chances of your child cleaning his or her room. The most common types of positive reinforcement or praise and rewards, and most of us have experienced this as both the giver and receiver.
Negative Reinforcement. Think of negative reinforcement as taking something negative away in order to increase a response. Imagine a teenager who is nagged by his mother to take out the garbage week after week. After complaining to his friends about the nagging, he finally one day performs the task and to his amazement, the nagging stops. The elimination of this negative stimulus is reinforcing and will likely increase the chances that he will take out the garbage next week.
Punishment. Punishment refers to adding something aversive in order to decrease a behavior. The most common example of this is disciplining (e.g. spanking) a child for misbehaving. The reason we do this is because the child begins to associate being punished with the negative behavior. The punishment is not liked and therefore to avoid it, he or she will stop behaving in that manner.
Extinction. When you remove something in order to decrease a behavior, this is called extinction. You are taking something away so that a response is decreased.