Multiple choice

Quantity A Quantity B Probability of getting sum between 1 and 6 (both inclusive) when two dice are rolled together. Probability of getting sum between 7 and 12 (both inclusive) when two dice are rolled together.

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sum 1-6: (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1). Total 15 outcomes. Sum 7-12: 21 outcomes. Since 21 > 15, Quantity B is greater.

AI explanation

The total number of outcomes when rolling two dice is 36. The combinations for a sum between 1 and 6 are 0 for 1, 1 for 2, 2 for 3, 3 for 4, 4 for 5 and 5 for 6, giving 15 total outcomes for Quantity A. The combinations for a sum between 7 and 12 are 6 for 7, 5 for 8, 4 for 9, 3 for 10, 2 for 11 and 1 for 12, giving 21 total outcomes for Quantity B. Since 21 is greater than 15, Quantity B is greater.

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