The document discusses the concepts of experimental and theoretical probability, highlighting the differences between them. It explains how experimental probability is determined through actual trials, while theoretical probability is calculated mathematically based on possible outcomes. Several examples demonstrate how to calculate both types of probability in various scenarios involving coins, marbles, dice, and spinners.

1. Observe the following statements below.

2. Grade 8- 4th Quarter Mathematics
EXPERIMENTAL AND
THEORITICA L
PROBABILITY AND
PROBLEM SOLVING
INVOVING PROBABILITY

3. EXPERIMENTAL VS. THEORITICAL PROBABILITY
EXPERIMENTAL
is found by repeating the experiment
and observing the outcomes.
THEORITICAL
is what is expected to happen based
on mathematics.
Conduct an experiment and record the
number of times the event occurs and
the number of times the activity is
performed. Divide the numbers to
obtaion the experimental probability.
The theoritical probability of an
event is the number of ways the
event can occur (favorable
outcomes) divided by the
number of total outcomes.

4. EXPERIMENTAL VS. THEORITICAL PROBABILITY
EXPERIMENTAL
1. A coin is tossed 10 times. Let’s
assume that the head comes out 2
times and the tail comes out 8 times.
THEORITICAL
A coin is tossed.
What’s the probability of getting
a head? a tail?
P(H) = 2/10 = 1/5
P(T) = 8/10 = 4/5
What’s the probability of getting
a head? a tail?
P(H) = 1/2
P(T) = 1/2

5. EXPERIMENTAL VS. THEORITICAL PROBABILITY
EXPERIMENTAL
A box contains 6 red marbles, 3 blue
marbles, and 1 yellow marble. Find
the experimental probability of
getting a blue marble ii we draw
marbles 5 times.
THEORITICAL
A box contains 6 red marbles, 3 blue
marbles, and 1 yellow marble. If you
pick one one marble from the box,
what is the probability that the
marble would be red?

6. EXPERIMENTAL VS. THEORITICAL PROBABILITY
EXPERIMENTAL
You roll a die 20 times. The results are
given in the table below. Find the
experimenatl probability of getting a
6.
THEORITICAL
Find the theoritical probability of
obtaining an odd number when you
roll a die once.

7. EXAMPLE
Probability Type: Experimental 0001
Kris asked your 3 friends Liza, Alyana, and Rita to toss a fair coin 25 times each
in a row and the outcome of this experiment is given as below:
Calculate the probability of occurence of heads and tails.

8. EXAMPLE (Answer)
Probability Type: Experimental 0001
The probability of occurrence of heads of Liza, Alyana, and Rita are 2/5 ,
12/25, and 13/25 respectively and the probability of occurrence of tails are
3/5 ,13/25, and 12/25 respectively.

9. EXAMPLE
Probability Type: Theoritical 0001
You randomly choose one of the letters from the word DISCOVER.
What is the theoretical probability of choosing a vowel?

10. Inday spun the spinner several times and recorded
the results in the table.
Find the experimental probability that the spinner
will land on yellow.
TRY THIS
Color Blue Green Red Black Yellow
Frequency 3 7 4 1 5

11. Identify the following event whether it is
theoritical or experimental.
_________ 1. A die is rolled 10 times, 5 appears 6 times,
the probability is 6/10.
_________ 2. Rolling na die once, 5 appears, the
probability is 1/6.
_________ 3. A spinner is divided into 8 equal parts,
numbered 1 to 8. The probability of spinning a number
less than three is 2/8.
__________4. A coin is tossed ten times. A head is
recorded 7 times, and a tail 3 times, the probability of
getting a head is 7/10 and the probability of gettig a tail
is 3/10.