A single die is rolled one time. Find the probability of rolling an odd number or a number less than 5 . A. \( \frac{2}{3} \) B. \( \frac{1}{2} \) C. 1 D. \( \frac{5}{6} \)
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To find the probability of rolling an odd number or a number less than 5 on a single six-sided die, we first list the possible outcomes: {1, 2, 3, 4, 5, 6}. Odd numbers are {1, 3, 5} (which gives us 3 outcomes), and numbers less than 5 are {1, 2, 3, 4} (which gives us 4 outcomes). Now, we see that rolling an odd number or a number less than 5 gives us the unique outcomes: {1, 2, 3, 4, 5}. Counting those outcomes, we have 5 favorable outcomes (1, 2, 3, 4, 5) out of 6 possible outcomes. This results in a probability of \( \frac{5}{6} \). So, the answer is D. \( \frac{5}{6} \). If you want to spice up your die-rolling game, try rolling two dice instead! You could add even more complexity by defining different winning conditions based on sums, pairs, or just seeing which die rolls the highest number. Who knew dice could unleash such a world of fun? For a clever twist, consider how probability fascinates board games! Classic games like Monopoly or Ludo rely on dice rolls. The more you understand probability, the better strategies you can form for winning, especially when deciding how many spaces to move based on what’s left in your hand or predicting opponents’ moves. Sharp thinking, here you come!