( PELUANG)
Competence Standard (SK):
4. To understand the simple event probability
( Memahami peluang kejadian sederhana)

Basic Competence (Kd) :
4.1 To Determine the sample space of a certain
experiment (Menentukan ruang sampel pada
sebuah percobaan)
Objectives , After learning this
chapter, students are expected :
To know the meaning of statistical experiments,
 sample space, sample points, event
 of an experiment.
Find a sample space of an experiment by encoding
 the sample points
Find and calculate the possible outcome of an event,
 and
Calculate the expected frequency of an event
Tujuan Pembelajaran :
    Setelah mempelajari bab ini,
     peserta didik diharapkan ,
Mampu mengenal arti percobaan statitiska, ruang
 sampel dan titik sampel percobaan dan kejadian
Mampu menentukan ruang sampel suatu percobaan
 dengan cara mendata titik-titik sampelnya
Menentukan dan menghitung nilai suatu peluang
 kejadian
Menghitung frekuensi harapan suatu kejadian
Have you ever heard the word
PROBABILITY in your daily life ?
- Suppose in sport news, an announcer said that the
  chance of PERSIB soccer team was ever greater to win
  in the Liga Utama Champions
- What do you think about the weather today ? It will
  rain today or not ? How many probability will
  happen ?
- Find others example …….
Pernahkah kalian mendengar kata
PELUANG dalam kehidupan se
hari-hari kalian ?




Berikan beberapa contoh sederhana yang berkaitan
 dengan peluang (kemungkinan)
statistical experiments, Event
Is the chance or probability of the appearance of one
 of the surface can be determine by mathematical
 calculation the experiments

Event (Kejadian) is the expected outcome in an
 experiment
Tossing one Coin and a Die
1st Worksheet (Lembar Kerja 1)
Fill in the blank of the following statements by your
   own words, discuss with your friend on your group
1. a) The Sample Space of an experiment is…….
     b) Give an example in your daily life
2. a) The Sample Point of an experiment is….
     b) Give an example in your daily life……
3. a) The Event of an experiment is…..
     b) Give an example in your daily life…..
Solutions
1. a. Sample Space is the set of all events which
   appear (occur)
                                      b.Example:
   experiment in tossing two coins so the sample space
   is{ (A,A) , (A,G) , (G,A) , (G,G) }
2. a. Sample point is every members of the sample
   space in an experiment
   b. Example: in tossing two coins, so the sample
   points is (A,A) , (A,G) , (G,A) , (G, G)
3. a. Event is subset of sample space
   b. Example: (A,A)
2nd Worksheet (Lembar Kerja 2)
Do the following experiments (lakukan percobaan
 berikut) :
1. Tossing Two Coins (Pengetosan dua keping mata
 uang), and then complete the table with the point
 sample maybe happen…
              A           G
    A         (.….,…..)   (.….,…..)

    G         (.….,…..)   (.….,…..)
Solution
2. Tossing a Coin and a Die, and
then…..
Fill in the bellow table with point
sample maybe happen
      1           2           3           4           5           6

 A    (……,…..)    (…..,…..)   (…..,…..)   (…..,…..)   (…..,…..)   (…..,…..)



 G    (…..,…..)   (…..,…..)   (…..,…..)   (…..,…..)   (…..,…..)   (…..,…..)
Solutions
     1        2    3    4    5    6

 A       A1   A2   A3   A4   A5   A6
 G       G1   G2   G3   G4   G5   G6
Let’s arrange the conclusion
Based on the last experiments, so we have several
  conclusions :
 When we have 2 sample points in tossing a coin, then in
  tossing 2 coins we have:
  …..… x……= ……sample points
 The number of sample points of sample space is n²
 n = the numbers of it’s face

When we have 2 sample points in tossing a coin and 6
  sample points in tossing a die, so we have :
   …..… x……= ……sample points
That’s all for today
Remember :
 “Inch by inch Math is Cinch
 But Yard by yard that’s so very Hard “
(Prof.Dr. Viji, Dosen matematika SEAMEO RECSAM
  Malasyia ).
“The Secret of Success in Life is for a man to be ready for
  his opportunity when it comes”
(Earl Beaconsfield)
:"Being a teacher is the most important job on the planet,
and mathematics opens doors to all kinds of options for
students." (Cathy Seeley NTCM Past-President )
THANK YOU

Probability

  • 1.
    ( PELUANG) Competence Standard(SK): 4. To understand the simple event probability ( Memahami peluang kejadian sederhana) Basic Competence (Kd) : 4.1 To Determine the sample space of a certain experiment (Menentukan ruang sampel pada sebuah percobaan)
  • 2.
    Objectives , Afterlearning this chapter, students are expected : To know the meaning of statistical experiments, sample space, sample points, event of an experiment. Find a sample space of an experiment by encoding the sample points Find and calculate the possible outcome of an event, and Calculate the expected frequency of an event
  • 3.
    Tujuan Pembelajaran : Setelah mempelajari bab ini, peserta didik diharapkan , Mampu mengenal arti percobaan statitiska, ruang sampel dan titik sampel percobaan dan kejadian Mampu menentukan ruang sampel suatu percobaan dengan cara mendata titik-titik sampelnya Menentukan dan menghitung nilai suatu peluang kejadian Menghitung frekuensi harapan suatu kejadian
  • 4.
    Have you everheard the word PROBABILITY in your daily life ? - Suppose in sport news, an announcer said that the chance of PERSIB soccer team was ever greater to win in the Liga Utama Champions - What do you think about the weather today ? It will rain today or not ? How many probability will happen ? - Find others example …….
  • 5.
    Pernahkah kalian mendengarkata PELUANG dalam kehidupan se hari-hari kalian ?  Berikan beberapa contoh sederhana yang berkaitan dengan peluang (kemungkinan)
  • 6.
    statistical experiments, Event Isthe chance or probability of the appearance of one of the surface can be determine by mathematical calculation the experiments Event (Kejadian) is the expected outcome in an experiment
  • 7.
  • 8.
    1st Worksheet (LembarKerja 1) Fill in the blank of the following statements by your own words, discuss with your friend on your group 1. a) The Sample Space of an experiment is……. b) Give an example in your daily life 2. a) The Sample Point of an experiment is…. b) Give an example in your daily life…… 3. a) The Event of an experiment is….. b) Give an example in your daily life…..
  • 9.
    Solutions 1. a. SampleSpace is the set of all events which appear (occur) b.Example: experiment in tossing two coins so the sample space is{ (A,A) , (A,G) , (G,A) , (G,G) } 2. a. Sample point is every members of the sample space in an experiment b. Example: in tossing two coins, so the sample points is (A,A) , (A,G) , (G,A) , (G, G) 3. a. Event is subset of sample space b. Example: (A,A)
  • 10.
    2nd Worksheet (LembarKerja 2) Do the following experiments (lakukan percobaan berikut) : 1. Tossing Two Coins (Pengetosan dua keping mata uang), and then complete the table with the point sample maybe happen… A G A (.….,…..) (.….,…..) G (.….,…..) (.….,…..)
  • 11.
  • 12.
    2. Tossing aCoin and a Die, and then….. Fill in the bellow table with point sample maybe happen 1 2 3 4 5 6 A (……,…..) (…..,…..) (…..,…..) (…..,…..) (…..,…..) (…..,…..) G (…..,…..) (…..,…..) (…..,…..) (…..,…..) (…..,…..) (…..,…..)
  • 13.
    Solutions 1 2 3 4 5 6 A A1 A2 A3 A4 A5 A6 G G1 G2 G3 G4 G5 G6
  • 14.
    Let’s arrange theconclusion Based on the last experiments, so we have several conclusions :  When we have 2 sample points in tossing a coin, then in tossing 2 coins we have: …..… x……= ……sample points The number of sample points of sample space is n² n = the numbers of it’s face When we have 2 sample points in tossing a coin and 6 sample points in tossing a die, so we have : …..… x……= ……sample points
  • 15.
    That’s all fortoday Remember : “Inch by inch Math is Cinch But Yard by yard that’s so very Hard “ (Prof.Dr. Viji, Dosen matematika SEAMEO RECSAM Malasyia ). “The Secret of Success in Life is for a man to be ready for his opportunity when it comes” (Earl Beaconsfield)
  • 16.
    :"Being a teacheris the most important job on the planet, and mathematics opens doors to all kinds of options for students." (Cathy Seeley NTCM Past-President )
  • 17.