week 4 L5-KEY CONCEPTS OF PROPABILITY.pptx

this can be use as resources about key concepts of probability

1. MATHEMATICS 8 MAGANDANG ARAW!

2. ACTIVITY: COUNT ON!

3. Directions: Use the Figure below in completing the table. Teacher Fren decided to buy a standard deck of (52) playing cards that she will use in discussing one of her topics in Mathematics. Help teacher Fren in identifying the number of the following cards by completing the table below

4. Activity: Classify!

5. Directions: Group the following terms that are inside the box as Experiment or Outcome. head color red flipping a coin spinning a four- colored spinner rolling a die drawing a card from a deck of 52 cards green marble a queen of hearts a number 3 picking a colored marble from a bag Experiment Outcome                    

6. KEY CONCEPTS OF PROBABILITY

7. At the end of the lesson, the students are expected to: demonstrates understanding of key concepts of probability. apply key concepts of probability to solve real-life problems. illustrates an experiment, outcome, sample space and event. LEARNING OBJECTIVES:

8. A branch of mathematics that deals with measuring the likeness that an event will happen. It is primarily concerned with making predictions about the occurrence of events. PROBABILITY

9. An activity that can be performed repetitively. Examples: tossing a coin, drawing a card, rolling a die and picking a number. EXPERIMENT

10. It refers to the result of performing an experiment. Example: In tossing a coin, the possible outcomes include either heads or tail. OUTCOME

11. The set of all possible outcomes in an experiment. Example: In rolling a die, the sample space is S={ 1, 2, 3, 4, 5, 6}. SAMPLE SPACE

12. A subset of the sample space. It consists of one or more outcomes of an experiment. Example: In drawing a card from the standard deck of 52 cards, some events include getting a black card, picking a red card and choosing a face card. EVENT

13. refers to events that do not affect each other. Example: Flipping a coin twice , whether the first flip is heads or tails does not affect the second flip. INDEPENDENT EVENTS

14. refers to events where the outcome of one affects the other. Example: Choosing a card from a deck then selecting a second without replacing the first are dependent events because removing the first card affects what is to be taken next. DEPENDENT EVENTS

15. Determine the possible outcomes in the following experiments, and then write the sample space and the total number of outcomes. EXAMPLE 1: a. Drawing a card labelled with the seasons of the year. S={winter, spring, summer, fall} n(S)=4

16. b. Picking a color from the rainbow colors. EXAMPLE 1: S={red, orange, yellow, green, blue, indigo, violet} n(S)=7 c. Choosing a month S={January, February, March, April, May, June, July, August, September, October, November, December} n(S)=12

17. Determine the possible outcomes for the following events, and then list the elements and the total number of outcomes. EXAMPLE 2: a. Choosing a single-digit odd number E={1, 3, 5, 7, 9} n(E)=5

18. b. Drawing a king from a standard deck of 52 cards EXAMPLE 2: E={king of hearts, king of spades, king of diamonds, king of clubs} n(E)=4

19. c. Getting an even number from rolling an octahedral die EXAMPLE 2: E={2, 4 , 6, 8} n(E)=4

20. Directions: Complete the crossword puzzle. Words/terms can be written vertically or horizontally. Activity. Reveal Me!

21. 1. Two teams decided to flip a coin once to determine who plays first. 2. You rolled a die once and the number 2 turned up . 3. You were asked to select a girl at random in your class. 4. Lorna selects an outfit from these choices: {green shirts and black jeans, green shirts and gray jeans, Blue shirts and black jeans, blue shirts and gray jeans} 5. There are red, green, and yellow candies inside the box of teacher Anne as a reward to her students. Jay as one of the students hopes to get a yellow candy. ACTIVITY: I. Directions: Determine whether each of the following underlined phrases illustrates an Experiment, Outcome, Sample Space or an Event. Write your answers on the space provided.

22. 6. You roll a die once, and you get a 5. Experiment: Outcome: Sample Space: 7. Suppose you flip a coin twice, and you get a head (H) on the first toss and a tail (T) on the second toss. Experiment: Outcome: Sample Space: II. Directions: Read and analyze the situation carefully. Write the experiment being done, the outcome, and the sample space.