2 7
S T _ D _ N T S .
T H _
N _ M B _ R
_ F
B _ Y S
M _ S T
B _
_
M _ L T _ P L _ S
_ F
3
( 3 ,
6 ,
9 ,
1 2 ,
. . . )
S _
T H _ T
_ T
C _ N
B _
S P L _ T
_ N
T H _
R _ T _ _
_ F
2 : 1
( N _
W _ T C H : W _ T C H ) .
T H _
N _ M B _ R
_ F
G _ R L S
_ S
D _ _ B L _
T H _
N _ M B _ R
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B _ Y S
-
6 ,
1 2 ,
1 8 ,
2 4 ,
_ T C .
S _
T H _
T _ T _ L
N _ M B _ R
_ F
S T _ D _ N T S
C _ N
_ N L Y
B _
9 ,
1 8 ,
2 7 ,
3 6 ,
_ T C Clue
27 STUDENTS. THE NUMBER OF BOYS MUST BE A MULTIPLES OF 3 (3, 6, 9, 12, ...) SO THAT IT CAN BE SPLIT IN THE RATIO OF 2:1 (NO WATCH:WATCH). THE NUMBER OF GIRLS IS DOUBLE THE NUMBER OF BOYS - 6, 12, 18, 24, ETC. SO THE TOTAL NUMBER OF STUDENTS CAN ONLY BE 9, 18, 27, 36, ETC THERE ARE 19 KIDS IN THE CLASS. TOTAL NUMBER OF BOYS IN THE CLASS = BOYS WHO WEAR BLUE SHIRTS + BOYS WHO DO NOT WEAR BLUE SHIRTS. THERE ARE 3 BOYS (8 WEAR BLUE - 5 GIRLS WEARING BLUE) WHO WEAR BLUE SHIRTS. THERE ARE 2 BOYS WHO DO NOT WEAR A BLUE SHIRT. THEREFORE, THERE ARE 5 BOYS IN THE CLASS. IN TOTAL, THERE ARE 14 GIRLS + 5 BOYS IN THE CLASS HE JUST DOESN'T TAKE THE BET. THIS GIVES HIM A 100 PERCENT CHANCE OF GETTING THE MONEY HOME. IF HE TAKES THE BET WITH 1 DIE, HE HAS A 50 PERCENT CHANCE OF WINNING. IF HE TAKES THE BET WITH 2 DICE HE HAS ABOUT A 56 PERCENT CHANCE OF WINNING. IF HE TAKES THE BET WITH 3 DICE HE HAS ABOUT A 42 PERCENT CHANCE OF WINNING ANY NUMBER. IF A NUMBER IS DOUBLED AND MULTIPLIED BY 4, IT'S ACTUALLY BEEN MULTIPLIED BY 8, SO DIVIDING BY 8 WILL GET YOU THE ORIGINAL NUMBER AGAIN