Probability simulations
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Probability Simulations
The word simulate means to imitate or model. A probability
simulation is the use of some method to model or represent a
real experiment or situation.
Simulations can involve:
•Calculators and computers to generate random numbers
•Dice, coins, spinners, coloured counters etc
•Random number tables
Example 1
For families of 5 children, what is the probability that the girls
outnumber the boys. Devise a simulation of this situation and use
it to determine the probability is more than, less than, or equal to
0.5.
Solution:
•Tossing a coin: head = boy, tail = girl
•Rolling a die: 1 – 3 = boy, 4 – 6 = girl
•Random numbers using calculator: 0 – 4 = boy, 5 – 9 = girl
•Deck of cards: red = boy, black = girl
Type of Bet Probability Payout
from $1
Straight up (single 1 in 37 $36
number)
Red/Black 18 in 37 $2
Low (1 – 18) 18 in 37 $2
manque
High (19 – 36)
passe
Odds(impair)/Even 18 in 37 $2
s (pair)
Dozens (1 – 12, 13 12 in 37 $3
– 24, 25 – 36)_
Column 12 in 37 $3
Why is a zero added to Row 3 in 37 $12
the wheel?
Split (2 numbers) 2 in 37 $18
Corner (block of 4) 4 in 37 49
Six line (2 rows) 6 in 37 $6
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