A valid argument is an argument that has a true premise and a true conclusion or a false premise and a false conclusion at the same time. It cannot have a true premise and a false conclusion. For example:
Everyone who is inside Great America paid an entrance fee to get in. Mary is inside waiting in line to get on a ride. Therefore, Mary paid the entrance fee.
This is a valid argument because in order to get into the amusement park everyone has to pay the entrance fee. Since we can see that Mary is inside the amusement park, then we can reason that Mary paid the entrance fee. As both premise and conclusion are true, this is a valid argument.
A strong argument is an argument that has a true premise and a false conclusion at the same time. For example,
Barbara loves to eat chicken. Therefore, everyone named Barbara loves to eat chicken.
The premise is true that Barbara loves to eat chicken, but NOT everyone named Barbara loves to eat chicken. Therefore, the conclusion is false.
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