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 The

probability of an event is how
likely it is to occur.
 Always a number between 0 and 1.
 Probability of 1:
 event will definitely occur.
 Probability

of 0:

 event will never occur.
 The

theoretical probability that an
event A will occur is:

 Can

be expressed as a fraction,
decimal, or %.
 Experimental

probability is found
using an experiment, survey, or
history of the event.
 Found using:
 Sam

rolled a die 50 times.
A 3 appeared 10 times.
 What is the experimental probability
of rolling a 3?
 What

is the theoretical probability?
 A coin

is tossed 60 times. Heads
appeared 27 times.
 Find the experimental probability of
flipping heads.

 What

is the theoretical probability?
 In

1998, a survey asked internet
users for their ages. Find the exp.
probability that a randomly selected
internet user is:
# of
Age
users
 at most 20 years old?
Under 21
21 -40

 at

least 41 years old?

1636
6617

41 – 60

3693

61 – 80

491

Over 80

6
 Using

the table, what was the
experimental probability of an even
number being rolled?

 What

is the
theoretical
probability?

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4.3 probability exp. vs. theo.

  • 1.
  • 2.  The probability of an event is how likely it is to occur.  Always a number between 0 and 1.  Probability of 1:  event will definitely occur.  Probability of 0:  event will never occur.
  • 3.  The theoretical probability that an event A will occur is:  Can be expressed as a fraction, decimal, or %.
  • 4.  Experimental probability is found using an experiment, survey, or history of the event.  Found using:
  • 5.  Sam rolled a die 50 times. A 3 appeared 10 times.  What is the experimental probability of rolling a 3?  What is the theoretical probability?
  • 6.  A coin is tossed 60 times. Heads appeared 27 times.  Find the experimental probability of flipping heads.  What is the theoretical probability?
  • 7.  In 1998, a survey asked internet users for their ages. Find the exp. probability that a randomly selected internet user is: # of Age users  at most 20 years old? Under 21 21 -40  at least 41 years old? 1636 6617 41 – 60 3693 61 – 80 491 Over 80 6
  • 8.  Using the table, what was the experimental probability of an even number being rolled?  What is the theoretical probability?