Multiple choice

when two balanced dies are rolled simultaneously, the probability of getting the same number on both the dice is,

  1. $1$
  2. $\dfrac { 1 }{ 12 } $
  3. $\dfrac { 1 }{ 6 } $
  4. $\dfrac { 1 }{ 36 } $
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total outcomes when rolling two dice = 36. Outcomes with the same number are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), which is 6 outcomes. Probability = 6/36 = 1/6.

AI explanation

When two dice are rolled, the total number of possible outcomes is 6 times 6, which equals 36. The favorable outcomes where both dice show the same number are (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6). Since there are 6 favorable outcomes, the required probability is 6 divided by 36, which simplifies to 1/6.

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