Question

Question #30e1c

Answer 1

`P("total from 1 to 8") = 16/16 = 1`

Explanation:

If they are tetrahedral dice it means they each have 4 faces. (they are triangular pyramids with each face being an equilateral triangle.

Each die will have the numbers `1,2, 3, 4`

The total possible scores are from 2 to 8.

Draw up a possibility space to show the possible outcomes.

`" "ul(1" "2" "3" "4`
`" "1|2" "3" "4" "5`
`" "2|3" "4" "5" "6`
`" "3|4" "5" "6" "7`
`" "4|5" "6" "7" "8" "`There are `4xx4 =16` outcomes.

The score of 1 cannot occur.`" "P(1) =0`

The score of 2 occurs 1 time.`" "P(2) = 1/16`

The score of 3 occurs 2 times.`" "P(3) = 2/16 = 1/8`

The score of 4 occurs 3 times`" "P(4) = 3/16`

The score of 5 occurs 4 times.`" "P(5) = 4/16 = 1/4`

The score of 6 occurs 3 times.`" "P(6) = 3/16`

The score of 7 occurs 2 times`" "P(7) = 2/16 =1/8`

The score of 8 occurs 1 time.`" "P(8) = 1/16`

`P("total from 1 to 8") = 16/16 = 1`