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Three dice are rolled independently. What is the probability that the highest and the lowest value differ by 4?  
  • a)
    1/3
  • b)
    1/6
  • c)
    1/9
  • d)
    5/18
  • e)
    2/9
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Three dice are rolled independently. What is the probability that the ...
Case 1:largest is 5 , smallest 1 and middle is 2 or 3 or 4 : 3*3!
Case 2.largest is 5 , smallest 1 and middle is 1 or 5 : 3!*2/2!
Case 3:largest is 6 , smallest 2 and middle is 3 or 4 or 5 : 3*3!
Case 4:largest is 6 , smallest 2 and middle is 6 or 2: 3!*2/2!
So probability the highest and the lowest value differ by 4 =( 3*3!+3!*2/2!+3*3!+3!*2/2!)/63 =2/9
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Three dice are rolled independently. What is the probability that the highest and the lowest value differ by 4? a)1/3b)1/6c)1/9d)5/18e)2/9Correct answer is option 'E'. Can you explain this answer?
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