\( (5.1,5.2) \) In a certain game of chance, a wheel consists of 48 slots numbered \( 00,0,1,2, \ldots, 46 \). To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. Complete parts (a) through (c) below. (a) Determine the sample space. Choose the correct answer below. A. The sample space is \( \{00,0,1,2, \ldots, 46\} \). B. The sample space is \( \{1,2, \ldots, 46\} \). C. The sample space is \( \{00\} \). D. 1.27 points D. The sample space is \( \{00,0\} \).

The correct answer is A. The sample space is \( \{00,0,1,2, \ldots, 46\} \). This includes all the possible outcomes from spinning the wheel, with 48 distinct slots represented. Now onto what makes this wheel unique! Did you know that games of chance, like the one you’re exploring, date back to ancient civilizations? The concept of spinning a wheel or tossing a random object to determine an outcome taps into a deep-rooted human fascination with luck and probability that has evolved through cultures worldwide. While playing, remember that understanding probabilities can significantly enhance your strategy! A common mistake is to assume that because a number hasn’t come up in a while, it’s "due" to appear. Each spin is independent, and the chances remain the same every time. So, don’t fall into the gambler's fallacy trap!