PROBABILITY

 PROBABILITY

Mathematics 6, Quarter 4 (Week 6 and 7)




NOTES ON PROBABILITY

1. Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring.


2. Probability is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.


3. Probability can be calculated by dividing the number of favorable outcomes by the number of possible outcomes.


4. The probability of an event can be represented as a fraction, decimal, or percentage.


5. Theoretical probability refers to the probability of an event based on mathematical reasoning and calculations.


6. Experimental probability refers to the probability of an event based on repeated trials or experiments.


7. The sum of the probabilities of all possible outcomes in an experiment is always equal to 1.


8. Probability can be influenced by the number of favorable outcomes, the number of possible outcomes, and the conditions of the experiment.


9. A probability of 0 means that the event will not occur, while a probability of 1 means that the event is certain to occur.


10. Events with a probability closer to 0 are considered unlikely, while events with a probability closer to 1 are considered likely.


11. The probability of two independent events occurring together can be found by multiplying their individual probabilities.


12. The probability of two mutually exclusive events occurring can be found by adding their individual probabilities.


Remember to always take thorough notes and ask your teacher if you have any specific questions or need further clarification on any of these concepts.



QUIZ TIME!

Certainly! Here's a 10-item multiple-choice quiz based on the notes provided:


1. What is probability?

   a) A branch of biology

   b) The likelihood or chance of an event occurring

   c) The study of planets

   d) A type of measurement


2. How is probability expressed?

   a) As a number between 0 and 100

   b) As a fraction or decimal between 0 and 1

   c) As a whole number between 0 and 10

   d) As a percentage between 0 and 1000


3. How is probability calculated?

   a) By dividing the number of favorable outcomes by the number of possible outcomes

   b) By adding the number of favorable outcomes to the number of possible outcomes

   c) By multiplying the number of favorable outcomes by the number of possible outcomes

   d) By subtracting the number of favorable outcomes from the number of possible outcomes


4. What is the range of probability?

   a) 0 to 10

   b) -1 to 1

   c) 0 to 100

   d) 0 to 1


5. What does theoretical probability refer to?

   a) Probability based on repeated trials or experiments

   b) Probability based on mathematical reasoning and calculations

   c) Probability based on personal beliefs

   d) Probability based on luck


6. What is the sum of the probabilities of all possible outcomes?

   a) 0

   b) 1

   c) 10

   d) 100


7. What does a probability of 0 represent?

   a) An impossible event

   b) A certain event

   c) An event that is likely to occur

   d) An event that has already occurred


8. What does a probability of 1 represent?

   a) An impossible event

   b) A certain event

   c) An event that is likely to occur

   d) An event that has already occurred


9. How can the probability of two independent events occurring together be found?

   a) By multiplying their individual probabilities

   b) By adding their individual probabilities

   c) By subtracting their individual probabilities

   d) By dividing their individual probabilities


10. What are events with a probability closer to 0 considered?

    a) Likely events

    b) Impossible events

    c) Unlikely events

    d) Certain events



PLEASE CHECK YOUR ANSWERS!

Please note that the correct answers are as follows:

1. b) The likelihood or chance of an event occurring

2. b) As a fraction or decimal between 0 and 1

3. a) By dividing the number of favorable outcomes by the number of possible outcomes

4. d) 0 to 1

5. b) Probability based on mathematical reasoning and calculations

6. b) 1

7. a) An impossible event

8. b) A certain event

9. a) By multiplying their individual probabilities

10. c) Unlikely events



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