( 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 pointsFind and calculate the possible outcome of an event,

andCalculate 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 kejadianMampu menentukan ruang sampel suatu percobaan

dengan cara mendata titik-titik sampelnyaMenentukan dan menghitung nilai suatu peluang

kejadianMenghitung 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, EventIs 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 group1. a) The Sample Space of an experiment is……. b) Give an example in your daily life2. 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…..

Solutions1. 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 (…..,…..) (…..,…..) (…..,…..) (…..,…..) (…..,…..) (…..,…..)

Solutions1

2 3 4 5 6

A A1 A2 A3 A4 A5 A6

G G1 G2 G3 G4 G5 G6

Let’s arrange the conclusionBased 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 todayRemember : “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