Multiple choice

What is the probability of getting the same number on all three dices if they are rolled together?

  1. 2/216

  2. 1/36

  3. 1/6

  4. 5/36

  5. 7/36
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total outcomes = 6*6*6 = 216. Favorable outcomes (same number) = (1,1,1), (2,2,2), (3,3,3), (4,4,4), (5,5,5), (6,6,6) = 6. Probability = 6/216 = 1/36.

AI explanation

Using the fundamental principle of counting, the total possible outcomes when rolling three dice is 6 multiplied by 6 multiplied by 6, which equals 216. To get the same number on all three dice, the favorable outcomes are three ones, three twos, three threes, three fours, three fives, and three sixes, giving 6 favorable outcomes. The probability is the number of favorable outcomes divided by the total outcomes, which is 6 divided by 216. Simplifying the fraction 6/216 by dividing the numerator and denominator by 6 results in 1/36.

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