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Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: What is the probability of getting a sum greater than 10, when two dices are simultaneously rolled? Quantity B: What is the probability of getting a sum less than 4, when two dices are simultaneously rolled?

Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: What is the probability of getting a sum greater than 10, when two dices are simultaneously rolled? Quantity B: What is the probability of getting a sum less than 4, when two dices are simultaneously rolled? Correct Answer Quantity A = Quantity B

Solving for Quantity A:

No. of ways of rolling a pair of dice = 6 × 6 = 36

Let E = event of getting a sum greater than 10 = {(5, 6), (6, 5), (6, 6)}

n(E) = 3

⇒ Required probability = 3/36 = 1/12

⇒ Quantity A = 1/12

Solving for Quantity B:

No. of ways of rolling a pair of dice = 6 × 6 = 36

Let E = event of getting a sum less than = {(1, 1), (1, 2), (2, 1)}

n(E) = 3

⇒ Required probability = 3/36 = 1/12

⇒ Quantity B = 1/12

∴ Quantity A = Quantity B

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