Quantitative Literacy Practice Exam

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When two dice are rolled, what is the probability that the sum is either 2 or 9?

  1. 1/36

  2. 3/36

  3. 5/36

  4. 7/36

The correct answer is: 5/36

To determine the probability that the sum of two rolled dice is either 2 or 9, we first need to calculate the total number of possible outcomes when two dice are rolled, which is 6 sides per die multiplied by 6 sides on the other die, resulting in 36 possible combinations. Next, we consider the successful outcomes for each of the sums: For a sum of 2, there is only one combination: (1, 1). Hence, there is 1 successful outcome for this sum. For a sum of 9, multiple combinations yield this result. The successful outcomes are: - (3, 6) - (4, 5) - (5, 4) - (6, 3) This gives us 4 successful outcomes for the sum of 9. Now, we add the successful outcomes for both sums: 1 (for sum = 2) + 4 (for sum = 9) equals 5 successful outcomes. Thus, the probability of rolling a sum of 2 or 9 is the number of successful outcomes (5) divided by the total number of outcomes (36). This leads us to the probability of 5/36. The calculations are hence confirmed by

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