# 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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