Multiple choice

Two dice were thrown simultaneously. Then find the probability of g etting the sum of outcomes 9?

  1. $\dfrac{1}{9}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{2}{9}$
  4. $\dfrac{1}{2}$
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A Correct answer
Explanation

With two standard dice, a sum of 9 occurs in four ordered outcomes: (3,6), (4,5), (5,4), and (6,3). Since there are 36 equally likely outcomes, the probability is 4/36 = 1/9.

AI explanation

The maximum possible sum on two dice is 12, making the stated sum of 9 impossible; however, assuming a standard probability sum of 9 calculation, the total outcomes are 36. The favorable outcomes for a sum of 9 are (3,6), (4,5), (5,4) and (6,3), giving 4 combinations. The probability is therefore 4/36, which simplifies to 1/9.