3 dice are thrown. Find probability of sum = 10?

• for such type of questions the method is seen to be time consuming
  so we can learn a simple series for rolling of three dices
  •Probability of a sum of 3: 1/216
  •Probability of a sum of 4: 3/216
  •Probability of a sum of 5: 6/216
  •Probability of a sum of 6: 10/216
  •Probability of a sum of 7: 15/216
  •Probability of a sum of 8: 21/216
  •Probability of a sum of 9: 25/216
  •Probability of a sum of 10: 27/216
  •Probability of a sum of 11: 27/216
  •Probability of a sum of 12: 25/216
  •Probability of a sum of 13: 21/216
  •Probability of a sum of 14: 15/216
  •Probability of a sum of 15: 10/216
  •Probability of a sum of 16: 6/216
  •Probability of a sum of 17: 3/216
  •Probability of a sum of 18: 1/216
  
• 12 years agoHelpfull: Yes(20) No(1)
• possible solution
  (1+3+6),(1+4+5),(1+5+4),(1+6+3)=4
  (2+2+6),(2+3+5),(2+4+4),(2+5+3),(2+6+2)=5
  (3+1+6),(3+2+5),(3+3+4),(3+4+3),(3+5+2),(3+6+1)=6
  (4+1+5),(4+2+4),(4+3+3),(4+4+2),(4+5+1)=5
  (5+1+4),(5+2+3),(5+3+2),(5+4+1)=4
  (6+1+3),(6+2+2),(6+3+1)=3
  possible combination=(4+5+6+5+4+3)=27
  now possible combination is (6*6*6)=216
  probabitity=27/216
  
• 12 years agoHelpfull: Yes(13) No(0)
• fist we find total no of combination..
  clearly..we have 3 place i.e - - -,we can fill the place using digit 1 to 6 but sum must be 10..
  (1 3 6)--6 ways
  (1 4 5) 6 ways
  (2 2 6) 3 ways
  (2 3 5) 6 ways
  (2 4 4) 3 ways
  (3 3 4) 3 ways
  total-27 ways
  p=27/216
• 12 years agoHelpfull: Yes(8) No(0)
• Ans 27/216 is it correct
• 12 years agoHelpfull: Yes(5) No(2)
• If r=10,r=11 then p=27/2*6^3
• 12 years agoHelpfull: Yes(0) No(6)