Question

Three dice are tossed once what is the probability of getting a total score of 10?

Answer 1

`1/8 = 0.125 = 12.5 %`

Explanation:

`"This problem contains a sub-problem and that is the number"`
`"of possibilities to form 10 with three numbers from 1 to 6."`
`10 = 1+3+6`
`10 = 1+4+5`
`10 = 1+5+4`
`10 = 1+6+3`
`10 = 2+2+6`
`10 = 2+3+5`
`10 = 2+4+4`
`10 = 2+5+3`
`10 = 2+6+2`
`10 = 3+1+6`
`10 = 3+2+5`
`10 = 3+3+4`
`10 = 3+4+3`
`10 = 3+5+2`
`10 = 3+6+1`
`10 = 4+1+5`
`10 = 4+2+4`
`10 = 4+3+3`
`10 = 4+4+2`
`10 = 4+5+1`
`10 = 5+1+4`
`10 = 5+2+3`
`10 = 5+3+2`
`10 = 5+4+1`
`10 = 6+1+3`
`10 = 6+2+2`
`10 = 6+3+1`
`"We have 4+5+6+5+4+3 = 27 possibilities to form 10"`
`"The total number of possibilities is "6^3 = 216"."`
`"So"`

`P = 27/216 = 1/8 = 0.125 = 12.5 %`