THE PAST

LEARNING TARGETS
 differentiate between theoretical
probability and experimental probability
 solve problems involving theoretical
probability and experimental probability
 cite real life applications of probability
2
3
The table shows the
result after he/she tossed
a coin 20 times. What is
the probability that head
will land up on the next
toss?
Girl
4
Boy
THEORETICAL PROBABILITY
VS. EXPERIMENTAL
PROBABILITY
THEORETICAL PROBABILITY
- determining the probability of an event
using your knowledge about the situation
and logical reasoning
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑓𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠
𝑃 𝐸 =
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠
6
Example 1
The table shows the
result after he/she tossed
a coin 20 times. What is
the probability that head
will land up on the next
toss?
Girl
7
Boy
Example 2
The bar graph shows the
result after Clyde rolled a fair
die 60 times. What is the
theoretical probability of
getting an even number on
the next roll?
8
EXPERIMENTAL
- estimating the
probability of an event
PROBABILITY
based on several trials of an experiment or
data that has been collected
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑖𝑚𝑒𝑠 𝑎𝑛 𝑒𝑣𝑒𝑛𝑡 𝑜𝑐𝑐𝑢𝑟𝑠
𝑃 𝐸 =
𝑡𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑟𝑖𝑎𝑙𝑠
9
Example 1
The table shows the
result after he/she tossed
a coin 20 times. What is
the probability that head
will land up on the next
toss?
Girl
10
Boy
Example 2
The bar graph shows the
result after Clyde rolled a fair
die 60 times. What is the
experimental probability of
getting an even number on
the next roll?
11
Work by Pair
Leny rolled a die and came up with the following
result after a total of 50 trials.
a. What is the theoretical probability of getting a
number less than 6 on the next throw?
b. What is the experimental probability of getting a
number less than 6 on the next throw?
Number
1
2
3
4
5
6
Frequency
6
4
7
11
12
10
12
How important is
probability to you?
13
Where will we use
probability in our
lives?
14
What is the difference of
theoretical probability and
experimental probability?
15
Answer this in a fourth sheet of paper. Answers
only.
Leny continued to roll the die and came up with the
following result after a total of 60 trials.
a. What is the theoretical probability of getting a
number greater than 3 on the next throw?
b. What is the experimental probability of getting a
number greater than 3 on the next throw?
Number
Frequency
1
2
3
4
5
6
10
8
7
13
12
10
16