Question

You roll a 6-sided die two times. What is P(greater than 3, divisor of 24)?

Answer 1

`P("sum">3" and " "divisor of "24)=color(magenta)(7/18)`

Explanation:

Possible target sums that meet the given requirements:
`color(white)("XXX"){4,6,8,12}`

Consider the possible die rolls that can give these sums:
#{: (ul("sum"),color(white)("xxx"),ul("first roll"), ul("second roll")), (4,,1,3), (,,2,2), (,,3,1), (6,,1,5), (,,2,4), (,,3,3), (,,4,2), (,,5,1), (8,,2,6), (,,3,5), (,,4,4), (,,5,3), (,,6,2), (ul(12),,ul6,ul6) :}#
Giving a total of `14` out of a possible `36` combinations that meet the given requirements.
`color(white)("XXX")14/36=7/18`