The document discusses simulations that can be used to determine probabilities of random events. It provides examples of using tools like coins, dice, and random number generators with specific rules to simulate probabilities. It also gives directions to design simulations for scenarios involving the chances of rain in Spain, admissions at Hershey Park, family sizes, and students with pets.

1. Drill 1/8/13
The MD license plate for a
car consists of 3 letters
followed by 3 numbers. If
you can’t use I, O, or U for
letters, how many different
possible plates can be
created?

2. OBJECTIVE
Perform probability
simulations to model
real-world situations
involving uncertainty

3. PROBABILITY SIMULATIONS
Tool: something you can
use to simulate your
experiment
Rule: What outcome is
assigned to what

4. SOME TOOLS
Dice
Coin
Spinner
Random Number
Generator (calculator)
Others…

5. EXAMPLE
There are 6 cars to
choose from. What tool
would you use to simulate
the probability of
choosing each car? What
rule would you use?

6. EXAMPLE
Suppose you are taking a
True False quiz. What
tool could be used to
simulate the probability of
each question? What rule
would you use?

7. Rules for Tools
It is always safe to use a random number
generator.
Take the percent you are given and turn it
into a fraction.
The bottom number tells you how many
section to have in your spinner or how
many numbers to choose from.
The top number tells you how many
represent good outcomes.

8. Directions
For each following scenario
design a simulation that can be
used to determine the probability
of the given outcome. Be sure to
select a probability tool, decide on
the rule, and describe the length
and number of trials to determine
the probability.

9. Example
At Hershey Park, accountants
have found that 60% of the
admissions are for children
between the ages of 10 and 16.
Design a simulation that could
be used to determine the
probability that 5 guests are
between the ages of 10 and 16.

10. Example
There is a 50% chance that a
baby that is born will be a girl.
Design a simulation that could
be used to determine the
probability that a family with 4
kids has all boys.

11. Example
Suppose there is a 35% chance
that a student will have a pet cat.
Design a simulation that could be
used to determine the probability
that 3 randomly chosen students
will have a pet cat.

12. POD
Martin is planning a trip to Spain. They
say that the rain in Spain falls mainly on
the plain. Suppose there is a 70% chance
that it will be sunny on any given day in
Spain. Design a simulation that could be
used to determine the probability that it will
be sunny for all 7 days of Martin’s
vacation.

13. POD
Martin is planning a trip to Spain. They
say that the rain in Spain falls mainly on
the plain. Suppose there is a 70% chance
that it will be sunny on any given day in
Spain. Design a simulation that could be
used to determine the probability that it will
be sunny for all 7 days of Martin’s
vacation.

14. PROBABILITY SIMULATIONS
Tool: ______________
_____________________
_____________________
Rule: ________________
_____________________

15. SOME TOOLS
Dice
Coin
Spinner
Random Number
Generator (calculator)
Others…

16. EXAMPLE
There are 6 cars to choose from. What tool
would you use to simulate the probability of
choosing each car? What rule would you
use?

17. EXAMPLE
Suppose you are taking a True False quiz.
What tool could be used to simulate the
probability of each question? What rule
would you use?

18. Rules for Tools
It is always safe to use a random number
generator.
Take the percent you are given and turn it
into a fraction.
The bottom number tells you how many
section to have in your spinner or how
many numbers to choose from.
The top number tells you how many
represent good outcomes.

19. Directions
For each following scenario
design a simulation that can be
used to determine the probability
of the given outcome. Be sure to
select a probability tool, decide on
the rule, and describe the length
and number of trials to determine
the probability.

20. Example
At Hershey Park, accountants
have found that 60% of the
admissions are for children
between the ages of 10 and 16.
Design a simulation that could
be used to determine the
probability that 5 guests are
between the ages of 10 and 16.

22. Example
There is a 50% chance that a
baby that is born will be a girl.
Design a simulation that could
be used to determine the
probability that a family with 4
kids has all boys.

24. Example
Suppose there is a 35% chance
that a student will have a pet cat.
Design a simulation that could be
used to determine the probability
that 3 randomly chosen students
will have a pet cat.