7 Dice
Probability
Level
3
If 7 distinct fair 6 sided dice are rolled at the same time, what is the probability that the sum will be 10 ?
Give your answer to 4 decimal places.
The answer is 0.0003.
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1 solution
the only possible combinations to get a sum of 10 are: 1,1,1,1,1,1,4
1,1,1,1,1,2,3
1,1,1,1,2,2,2
arranging the 1 possibility gives: 7!/6! arranging the second probability gives: 7!/5! arranging the third probability gives: 7!/4!3! now adding the the probabilities for each case gives 84 , divided by total number ofprobalility: 6^7 the answer is 84/6^7 =0.0003