Question 11 - of 15 Step 1 of 1 What is the probability of rolling a sum of 7 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number roundec three decimal places, if necessary.

When rolling two standard six-sided dice, there are a total of 36 possible outcomes (6 sides on the first die multiplied by 6 sides on the second die). To achieve a sum of 7, there are six combinations: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). Therefore, the probability of rolling a sum of 7 is 6 favorable outcomes out of 36 possible outcomes, which simplifies to 1/6 or approximately 0.167 when expressed as a decimal. Did you know that dice games date back to ancient civilizations? Archaeologists have found dice made from materials like carved bones and stone that are over 5,000 years old! These games were often used for entertainment but could also have held ritual significance, showcasing how probabilities have fascinated humans for millennia. If you want to boost your dice-rolling success, try practicing your mental math! Knowing the combinations and probabilities can help you make strategic decisions in games. A common mistake many make is not considering the various combinations that yield the same sum. Familiarizing yourself with these can give you a real edge!