The sample space of #48# can be drawn as follows:
#" " 1" "2" "3" "4" "5" "6#
#1" "1, 1" "1, 2" "1, 3" "1, 4" "1, 5" " 1, 6#
#2" "2, 1" "2, 2" "2, 3" "2, 4" "2, 5" "2, 6#
#3" "3, 1" "3, 2" "3, 3" "3, 4" "3, 5" "3, 6#
#4" "4, 1" "4, 2" "4, 3" "4, 4" "4, 5" "4, 6#
#5" "5, 1" "5, 2" "5, 3" "5, 4" "5, 5" "5, 6#
#6" "6, 1" "6, 2" "6, 3" "6, 4" "6, 5" "6, 6#
#7" "7, 1" "7, 2" "7, 3" "7, 4" "7, 5" "7, 6#
#8" "8, 1" "8, 2" "8, 3" "8, 4" "8, 5" "8, 6#
Eliminate columns #4, 5, 6#
Those that have sums #>= 6# in column 1: #4#
Those that have sums #>= 6# in column 2: #5#
Those that have sums #>= 6# in column 3: #6#
Those that have sums #>= 6# is #4+5+6 = 15#
#P(>= 6) = 15/48 = .3125#
