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What is the probability of getting the same number on all three dices if they are rolled together?
  • a)
    2/216
  • b)
    1/36
  • c)
    1/6
  • d)
    5/36
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the probability of getting the same number on all three dices...
Total possible cases = 63 = 216
Favourable cases = (1, 1, 1), (2, 2, 2), (3, 3, 3), (4, 4, 4), (5, 5, 5) and (6, 6, 6).
Probability = 6/216 = 1/36
Alternate Solution:
Out of 6 numbers (1, 2, 3, 4, 5, 6) we can select 1 in 6C1 ways. The same number will turn up in each die. The probability in each one is 1/6.
So required probability = 6C1 × 1/6 × 1/6 × 1/6 = 6/216 = 1/36
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What is the probability of getting the same number on all three dices if they are rolled together?a)2/216b)1/36c)1/6d)5/36Correct answer is option 'B'. Can you explain this answer?
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