AIR MATH

Math Question

An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1, die 2). \begin{tabular}{|l|c|c|c|c|c|c|} \hline & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline 1 & \( (1,1) \) & \( (1,2) \) & \( (1,3) \) & \( (1,4) \) & \( (1,5) \) & \( (1,6) \) \\ \hline 2 & \( (2,1) \) & \( (2,2) \) & \( (2,3) \) & \( (2,4) \) & \( (2,5) \) & \( (2,6) \) \\ \hline 3 & \( (3,1) \) & \( (3,2) \) & \( (3,3) \) & \( (3,4) \) & \( (3,5) \) & \( (3,6) \) \\ \hline 4 & \( (4,1) \) & \( (4,2) \) & \( (4,3) \) & \( (4,4) \) & \( (4,5) \) & \( (4,6) \) \\ \hline 5 & \( (5,1) \) & \( (5,2) \) & \( (5,3) \) & \( (5,4) \) & \( (5,5) \) & \( (5,6) \) \\ \hline 6 & \( (6,1) \) & \( (6,2) \) & \( (6,3) \) & \( (6,4) \) & \( (6,5) \) & \( (6,6) \) \\ \hline \end{tabular} What is the probability of rolling two numbers with a sum that is less than 7 ? Enter your answer as a reduced fraction, like this: \( 3 / 14 \)

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