Multiple choice

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is atleast $6$

  1. $\dfrac{20}{36}$
  2. $\dfrac{26}{36}$
  3. $\dfrac{18}{30}$
  4. $None\ of\ these$
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B Correct answer
Explanation

Total outcomes = 36. Sum < 6: (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1) = 10 outcomes. Sum >= 6 = 36 - 10 = 26. Probability = 26/36.

AI explanation

When two dice are thrown, the total number of outcomes is 6 times 6, which is 36. The number of outcomes where the sum is less than 6 is 10, comprising the combinations (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), and (4,1). The probability of getting a sum of at least 6 is 1 minus 10/36, which equals 26/36.

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