Ontario Mathematics Proficiency Practice Test

To find the probability of rolling a sum of 7 with two six-sided dice, first, consider all the possible outcomes when rolling the dice. Each die has 6 faces, which results in a total of 36 different combinations when rolling two dice (6 faces on the first die multiplied by 6 faces on the second die). Next, determine the successful outcomes that yield a sum of 7. The possible pairs of dice rolls that add up to 7 are: - (1, 6) - (2, 5) - (3, 4) - (4, 3) - (5, 2) - (6, 1) There are 6 successful outcomes that result in a sum of 7. Now, to calculate the probability, use the formula for probability, which is the number of successful outcomes divided by the total number of possible SAMPLEoutcomes. Here, that would be: Probability = Number of successful outcomes / Total number of outcomes Probability = 6 / 36 = 1 / 6 This calculation demonstrates that the probability of rolling a sum of 7 with two six-sided dice is indeed 1/6.