+18 Probability that the difference of the max and min of three random integers between 1 and 30 is greater than 15?
+130071 If I didn't make any grevious error .......
Low Digit High Digit No. of groups of Three
1 17 15
1 18 16
1 19 17
1 20 18
1 21 19
1 22 20
1 23 21
1 24 22
1 25 23
1 26 24
1 27 25
1 28 26
1 29 27
1 30 28
____
301
Likewise
Low digit High digit No. of groups of 3
2 30 273
3 30 246
4 30 220
5 30 195
6 30 171
7 30 148
8 30 126
9 30 105
10 30 85
11 30 66
12 30 48
13 30 31
14 30 15
Total of groups of 3 =
301 + 273 + 246 + 220 + 195 + 171 + 148 + 126 + 105 + 85 + 66 + 48 + 31 + 15 = 2030
P ( of difference of the max and min of three random integers between 1 and 30 is greater than 15) =
2030 / C(30,3) = 2030 / 4060 = 1 / 2
