b. Ball lands on 31 or 00 The probability of the event that the ball lands on 31 or 00 is \( \frac{1}{20} \).

Did you know that the layout of a European roulette wheel is quite different from that of an American one? The European version has 37 pockets (numbers 1-36 plus a single zero), while the American wheel adds a double zero, bringing the total to 38. This difference in pockets affects the probabilities and expected returns for players, making European roulette generally more favorable! When playing roulette, it's vital to avoid “betting systems” that promise to recoup losses. Many players mistakenly believe that because a number hasn't hit in a while, it's "due" to appear. In reality, each spin is independent, so the odds remain the same no matter the recent outcomes. Remember, it’s all about enjoying the game—not chasing losses!