| B |
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 |
In tossing a die a 6 can occur one way out of six ways,
hence P=1/6.
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Algorithm: Determine N
Set Six = 0
LOOP from i=0 to N
Generate a random number R
from a uniform distribution
Set Dice = 1 + INT(6*R)
Check if Dice=6 THEN
Increment Six by 1
END IF
END LOOP
OUTPUT N, Six, Six/N
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Output: N Six Six/N
------------- -------- ---------
10 3 0.3000000
100 19 0.1900000
1,000 186 0.1860000
10,000 1659 0.1659000
100,000 16748 0.1674800
1,000,000 166705 0.1667050
10,000,000 1667210 0.1667210
100,000,000 16666290 0.1666629
1,000,000,000 166672853 0.1666728
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