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Three dice are thrown simultaneously. Find the probability of getting sum of the digits at least 15.


ravi15kumar.rk 1st Oct, 2021
Answer (1)
Mghv 1st Oct, 2021

Dear Ravi,

The solution for this is as follows:-


As, three dice are thrown simultaneously. So , The combinations that result in getting sum of the digits of 15 are:

(5, 5, 5), (3, 6, 6), (4, 5, 6)

Total number of permutations for the above combinations:

1+3!/2! +3! =10


Desirable outcomes=10

Total number of outcomes if 3 dice are thrown: 6 x 6 × 6 = 216.


Therefore, Probability= 10/216= 5/108.

Thus, Answer is 5/108


Hope this sorted your query.

All the Best!!

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