Experimental probability-theoretical-probability

Grade 8

1. ExperimentalProbability &
TheoreticalProbability

2. MITOSIS
Letters of the word “ MITOSIS” is selected at random. Find the
probability that the letter selected is
a.S
b.T
c.K
d.a vowel
e.a consonant

3. MITOSIS
Letters of the word “ MITOSIS” is selected at random. Find the
probability that the letter selected is
a.S
b.T
c.K
d.a vowel
e.a consonant
P(S) =
�
??????
P(T) =
�
??????
P(consonants) =
�
??????
P(S) =
�
??????
=�
P(vowel) =
�
??????

4. ExperimentalProbability VS TheoreticalProbability
Experimental Probability
The result of an
experiment or simulation
after a large number of
times.
Don’t know all the
possibilities.
Based off past events.
Changes as new
evidence emerges.
Theoretical Probability
Is what expected to
happen based on
possible outcomes
assuming equally likely
events.
Know all the possible
outcomes.
Requires no testing.
Doesn’t change based
on results.

5. ExperimentalProbability VS TheoreticalProbability
Experimental Probability
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Theoretical Probability
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6. ExperimentalProbability VS TheoreticalProbability
Experimental Probability
You tossed a coin 10 times
and recorded a head 3
times, a tail 7 times
P(head)= 3/10.
P(tail) = 7/10
Theoretical Probability
Toss a coin and getting a
head or a tail is
P(head) = 1/2.
P(tail) = 1/2.

7. A bag contains three
red marbles and three
blue marbles.
P(red) = 3/6 =1/2
Theoretical
(The result is based
on the possible
outcomes)
ExperimentalProbability VS TheoreticalProbability

8. Trial Red Blue
1 1
2 1
3 1
4 1
5 1
6 1
Total 2 4
Exp. Prob. 1/3 2/3 You draw a marble out of
the bag, record the color,
and replace the marble.
After 6 draws, you record 2
red marbles
P(red)= 2/6 = 1/3
Experimental
(The result is found by repeating
an experiment.)
ExperimentalProbability VS TheoreticalProbability

9. 1.You roll a die ten times. Three of those times,
you get a 6. What is the experimental probability
of rolling a 6?

7
10

1
3

1
10

3
10
Practice Exercise: Choose the correct answer:

10. 2.You flip a coin and get heads 30 out of 100
times. What is the experimental probability of
flipping heads the next time around?

90
100

7
10

70
100

3
10
Practice Exercise: Choose the correct answer:

11. 3.You flip a coin 50 times and get 20 tails.
What is the experimental probability of
getting tails?
40 %
25 %
50 %
100%
Practice Exercise: Choose the correct answer:

12. 4.Theoretical probability calculates the
number of times an event ____ happen,
while experimental probability calculates
the number of times an event _____ happen.
Can, Did
Did, Did
Did, Can
Can, Can
Practice Exercise: Choose the correct answer:

13. 5.Theoretical probability uses only _____,
while experimental probability uses _____.
Knowledge, Actual Experience
Knowledge, Knowledge
Actual Experience, Knowledge
Actual Experience, Actual Experience
Practice Exercise: Choose the correct answer:

14. 1.
1
10
2.
3
10
3.40 %
4.Did, Can
5.Knowledge, Actual Experience
Check your answer: