Probability of appearing larger of the tow numbers
6
5
4
3
2
1
0
0
11
10
9
8
7
15
14
13
12
1 2 3 4 5 6
S.S
7 8 9
(0,1)(1,0)
(0,2)(2,0)(1,2)(2,1)
(0,3)(3,0)(3,1)(1,3)(3,2)(2,3)
(0,4)(4,0)(1,4)(4,1)(4,2)(2,4)(3,4)(4,3)
(0,5)(5,0)(5,1)(1,5)(2,5)(5,2)(5,3)(3,5)(4,5)(5,4)
(0,6)(6,0)(6,1)(1,6)(2,6)(6,2)(3,6)(6,3)(4,6)(6,4)(5,6)(6,5)
(7,0)(0,7)(1,7)(7,1)(2,7)(7,2)(3,7)(7,3)(4,7)(7,4)(5,7)(7,5)(6,7)(7,6)
(0,8)(8,0)(1,8)(8,1+)(2,8)(8,2)(3,8)(8,3)(4,8)(8,4)(5,8)(8,5)(6,8)(8,6)(7,8)(8,7)
(0,9)(9,0)(1,9)(9,1)(2,9)(9,2)(3,9)(9,3)(4,9)(9,4)(5,9)(9,5)(9,6)(6,9)(7,9)(9,7)(8,9)(9,8)
(0,10)(10,0)(1,10)(10,1)(2,10)(10,2)(3,10)(10,3)(4,10)(10,4)(5,10)(10,5)
(6,10)(10,6)(7,10)(10,7)(8,10)(10,8)(9,10)(10,9)
(0,11)(11,0)(1,11)(11,1)(2,11)(11,2)(3,11)(11,3)(4,11)(11,4)(5,11)(11,5)
(6,11)(11,6)(7,11)(11,7)(8,11)(11,8)(9,11)(11,9)(11,10)(10,11)
(0,12)(12,0)(1,12)(12,1)(2,12)(12,2)(3,12)(12,3)(4,12)(12,4)(5,12)(12,5)
(6,12)(12,6)(7,12)(12,7)(8,12)(12,8)(9,12)(12,9)(10,12)(12,10)(11,12)(11,12)
(0,13)(13,0)(1,13)(13,1)(2,13)(13,2)(3,13)(13,3)(4,13)(13,4)(5,13)(13,5)
(6,13)(13,6)(7,13)(13,7)(8,13)(13,8)(9,13)(13,9)(13,10)(10,13)(11,13)(13,11)(13,12)(12,13)
(0,14)(14,0)(1,14)(14,1)(2,14)(14,2)(3,14)(14,3)(4,14)(14,4)(5,14)(14,5)(6,14)(14,6)(7,14)(14,7)(8,14)
(14,9)(9,14)(14,9)(14,10)(10,14)(11,14)(14,11)(14,12)(12,14)(14,13)(13,14)
(0,15)(15,0)(1,15)(15,1)(2,15)(15,2)(3,15)(15,3)(4,15)(15,4)(5,15)(15,5)(6,15)(15,6)(7,15)(15,7)(8,15)
(15,9)(9,15)(15,9)(15,10)(10,15)(11,15)(15,11)(15,12)(12,15)(14,15)(13,15)(15,14)(14,15)
1 0 1 1 1 2 1 3 1 4 1 5
X: The
Greater of the two numbers
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15

X={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
 f(1)= p(X=1) =
2
240
4  f(2)= p(X=2) =
 f(3)= p(X=3) =
240
6
 f(4)= p(X=4) =
240
8
 f(5)= p(X=5) =
240
10
 f(6)= p(X=6) =
240
12
 f(7)= p(X=7) =
240
14
 f(8)= p(X=8) =
240
16
 f(9)= p(X=9) =
240
18

240
20 f(10)= p(X=10) =
 f(11)= p(X=11) =
240
22
 f(12)= p(X=12) =
240
24
 f(13)= p(X=13) =
240
26
 f(14)= p(X=14) =
240
28
 f(15)= p(X=15) =
240
30
240

Subject:
Statistics
Teacher: Mr.
Gamal
Done By
Ahmad
AlGhamdi
Grade 10