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LEARNING
DESIGNERS               OUTCOMES




            MAIN MENU



TUTORIALS               CONTENTS
MAIN MENU
DESIGNERS
AZIMA BINTI ABDUL               NORADLINA BINTI
      RAHIM                          ZKERI
   D20091036017                   D20091036016




IJLAL BINTI MOHD.               AZNIDA BINTI CHE
       DIAH                         AWANG
  D20091036006                    D20091036011




                    MAIN MENU
MAIN MENU
TOPIC MENU
An experiment is a process or an operation
with an outcome.




          Toss a balanced die once and observe its
                      uppermost face

                               TOPIC MENU
When toss the coin,we can only get two results :

  Head
  Tail




                              TOPIC MENU
The set of all possible outcomes of an experiment is
called the sample space. It usually denoted as S.

 Example 1:
 Mr.Adam has a fruit stall that sells bananas,apples,
watermelons,papayas and durians. Students of class
4KP are asked to select their favourite fruit from the
fruits at Mr.Adam’s stall.
  S = {banana,apple,watermelon,papaya,durian}
                                 TOPIC MENU
Example 2:
  A month is randomly selected from a year.
  Describe the sample space of this experiment
  by using set notation.

S={January,February,March,April,May,June,July,
  August,September,October,November, Decem
  ber}
                              TOPIC MENU
TOPIC MENU
EVENT

Is a subset of the sample space
Is an outcome or a set of outcomes that
satisfies certain condition
Denoted by a capital letter




                             TOPIC MENU
EVENT
  Example 1 :                             •J is known as
  A box contains five cards written       an event of the
  with 1,2,3,4 and 5 respectively. A      experiment.
  card is picked randomly from the
  box.                                    •The number
                                          of outcome of
 S={1,2,3,4,5}                           an event
                                          n(P)=2
 If we define J as ‘the card with an
  even number’ , the outcome of J in
  set notation will be J={2,4}
                                       TOPIC MENU
EVENT
   Example 2 :
   A letter is randomly selected from the word ‘COMPUTER’.
   Determine the number of possible outcomes of the event that
   selected letter is
        i. A vowel
        ii. A consonant
SOLUTION
Let A=event that the selected letter is vowel={O,U,E}
Therefore n(A)=3

Let B=event that the selected letter is consonant={C,M,P,T,R}.
Therefore n(B)=5
                                             TOPIC MENU
TOPIC MENU
PROBABILITY OF AND
EVENT
 Probability of and event E,

P(E)= number of outcomes of the event
     number of outcomes of the sample space


 P(E)=

   0 ≤ P(E) ≤ 1

                              TOPIC MENU
PROBABILITY OF AND EVENT

P(E)=0 means that it is impossible for the event to
                      happen

P(E)=1 means that the event is certain to happen


The closer the probability of a given event is
to 1, the more likely it is to happen.
                                   TOPIC MENU
PROBABILITY OF AND
        EVENT
Example :
A bag contain 3 red balls and 4 white
balls. If Rasyid puts his hand in the
bag and picks a ball, what is
the probability that the ball he
 picked is white?


                     TOPIC MENU
PROBABILITY OF AND EVENT
Solution :
S= {R1, R2, R3, W1, W2, W3, W4}
n(S)=7
Let E is the event of the drawing a white ball
E={W1, W2, W3, W4}
n(E)=4
Therefore the probability of drawing a white ball
is 4/7
                                  TOPIC MENU
TOPIC MENU
EXERCISE 1
A number from 1 to 11 is choosen at
random. What is the probability of
choosing an odd number?
   1/11
   5/11
   6/11
   None of above

                     TOPIC MENU
EXERCISE 2
 A bag consists of 3 green, 1 white
 and 1 purple chips. Two chips are
 drawn from the bag. Which of the
 following outcomes are possible?
    (green, red)
    (green, green)
    (purple, purple)
    (white, white)
                    TOPIC MENU
EXERCISE 3
A dice is rolled 420 times.
How many times will a number greater
than 4 occur?
    70
    210
    140
    360

                   TOPIC MENU
EXERCISE 4
There are 45 boys and girls in a class.
Given the probability that a boy is
chosen is 4/15. The number of girls is
    8
    12
    25
    33

                      TOPIC MENU
EXERCISE 5
Out of 5000 applicants, only 275 are
chosen. If Azni is one of the applicants,
what is the probability that he is
chosen?
   11/200
   200/11
   189/200
   200/189
                          TOPIC MENU
Are you sure you want to quit?

        YES        NO
probability 1

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probability 1

  • 1.
  • 2. 3
  • 3. 2
  • 4. 1
  • 5.
  • 6. LEARNING DESIGNERS OUTCOMES MAIN MENU TUTORIALS CONTENTS
  • 9. AZIMA BINTI ABDUL NORADLINA BINTI RAHIM ZKERI D20091036017 D20091036016 IJLAL BINTI MOHD. AZNIDA BINTI CHE DIAH AWANG D20091036006 D20091036011 MAIN MENU
  • 12. An experiment is a process or an operation with an outcome. Toss a balanced die once and observe its uppermost face TOPIC MENU
  • 13. When toss the coin,we can only get two results : Head Tail TOPIC MENU
  • 14. The set of all possible outcomes of an experiment is called the sample space. It usually denoted as S. Example 1: Mr.Adam has a fruit stall that sells bananas,apples, watermelons,papayas and durians. Students of class 4KP are asked to select their favourite fruit from the fruits at Mr.Adam’s stall. S = {banana,apple,watermelon,papaya,durian} TOPIC MENU
  • 15. Example 2: A month is randomly selected from a year. Describe the sample space of this experiment by using set notation. S={January,February,March,April,May,June,July, August,September,October,November, Decem ber} TOPIC MENU
  • 17. EVENT Is a subset of the sample space Is an outcome or a set of outcomes that satisfies certain condition Denoted by a capital letter TOPIC MENU
  • 18. EVENT Example 1 : •J is known as A box contains five cards written an event of the with 1,2,3,4 and 5 respectively. A experiment. card is picked randomly from the box. •The number of outcome of  S={1,2,3,4,5} an event n(P)=2  If we define J as ‘the card with an even number’ , the outcome of J in set notation will be J={2,4} TOPIC MENU
  • 19. EVENT Example 2 : A letter is randomly selected from the word ‘COMPUTER’. Determine the number of possible outcomes of the event that selected letter is i. A vowel ii. A consonant SOLUTION Let A=event that the selected letter is vowel={O,U,E} Therefore n(A)=3 Let B=event that the selected letter is consonant={C,M,P,T,R}. Therefore n(B)=5 TOPIC MENU
  • 21. PROBABILITY OF AND EVENT Probability of and event E, P(E)= number of outcomes of the event number of outcomes of the sample space P(E)= 0 ≤ P(E) ≤ 1 TOPIC MENU
  • 22. PROBABILITY OF AND EVENT P(E)=0 means that it is impossible for the event to happen P(E)=1 means that the event is certain to happen The closer the probability of a given event is to 1, the more likely it is to happen. TOPIC MENU
  • 23. PROBABILITY OF AND EVENT Example : A bag contain 3 red balls and 4 white balls. If Rasyid puts his hand in the bag and picks a ball, what is the probability that the ball he picked is white? TOPIC MENU
  • 24. PROBABILITY OF AND EVENT Solution : S= {R1, R2, R3, W1, W2, W3, W4} n(S)=7 Let E is the event of the drawing a white ball E={W1, W2, W3, W4} n(E)=4 Therefore the probability of drawing a white ball is 4/7 TOPIC MENU
  • 26. EXERCISE 1 A number from 1 to 11 is choosen at random. What is the probability of choosing an odd number? 1/11 5/11 6/11 None of above TOPIC MENU
  • 27. EXERCISE 2 A bag consists of 3 green, 1 white and 1 purple chips. Two chips are drawn from the bag. Which of the following outcomes are possible? (green, red) (green, green) (purple, purple) (white, white) TOPIC MENU
  • 28. EXERCISE 3 A dice is rolled 420 times. How many times will a number greater than 4 occur? 70 210 140 360 TOPIC MENU
  • 29. EXERCISE 4 There are 45 boys and girls in a class. Given the probability that a boy is chosen is 4/15. The number of girls is 8 12 25 33 TOPIC MENU
  • 30. EXERCISE 5 Out of 5000 applicants, only 275 are chosen. If Azni is one of the applicants, what is the probability that he is chosen? 11/200 200/11 189/200 200/189 TOPIC MENU
  • 31.
  • 32.
  • 33. Are you sure you want to quit? YES NO