The Marble Jar Gamble

<p>A game organizer places 50 red marbles and 50 blue marbles into two identical jars — all 100 marbles must be used and each jar must contain at least one marble. A contestant is then blindfolded, picks a jar at random, and draws one marble from it. If the drawn marble is red, the contestant wins a prize. You are the organizer. How do you distribute the marbles between the two jars to give the contestant the highest possible chance of drawing a red marble?</p>