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Three identical dice are rolled. The probability that the same number will appear on each of them is (1984 - 2 Marks)
  • a)
    1/6
  • b)
    1/36
  • c)
    1/18
  • d)
    3/28
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three identical dice are rolled. The probability that the same number ...
Favourable cases = 6; {(1, 1, 1), (2, 2, 2),…(6, 6, 6)}
Total cases  = 6 × 6 × 6 = 216
∴Req. prob. = 
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Most Upvoted Answer
Three identical dice are rolled. The probability that the same number ...
Favourable cases = 6; {(1, 1, 1), (2, 2, 2),…(6, 6, 6)}
Total cases  = 6 × 6 × 6 = 216
∴Req. prob. = 
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Community Answer
Three identical dice are rolled. The probability that the same number ...
Total possible outcomes = 6^n ,where n = no.of dice

= 216

required pairs =(1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)

only 6 possible outcomes

therefore,

P(E) = 6/216 = 1/36
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