Key Concepts of Probability.pptxxxxxxxxx
- 1. MATH 8
- 2. Prayer Dear God, Thank you for looking after our school, that you love each and every one of us. Help us learn, play, and share together. It’s incredible that you are there every second of the day, everywhere, all the time, beside each of us. Amen.
- 6. Possibility vs Probability Possibility is about if it can happen or not. Commonly can be answered by a Yes or a No. Probability is how much chance (by percent) is something to happen. It is quantitative. Also, it is a measure or estimation of how likely it is that an event will occur.
- 7. Possibility vs Probability Possibility of: 1. Being an honor student on the next quarter? 2. Being liked by your crush? Answerable by Yes or No Probability of: 1. Being an honor student on the next quarter? (50% chance) 2. Being liked by your crush? (no chance at all)
- 8. Basic Key Concepts of Probability EXPERIMENT OUTCOME EVENT SAMPLE SPACE
- 9. - an activity involving chance that can have different results. It is a process that, when performed, results in exactly one of many observations. EXPERIMENT Ex: Tossing a coin Drawing a marble in a jar Rolling a die Spinning a color wheel
- 10. - are the results of experiments. OUTCOME Experiment: Tossing a coin Rolling a die Picking letter in alphabet Spinning a color wheel Possible Outcomes: Head or Tail 1, 2,3 4, 5, 6 A-Z Red, blue, green, etc.
- 11. is the set of all possible outcomes of an experiment and is denoted by S. Sample Space Experiment: Rolling a die once Outcomes: Any number from 1-6 Sample Space: {1, 2, 3, 4, 5, 6}
- 12. is a set of some elements or outcomes of an experiment. It is a subset of a sample space. It is not necessary to be the actual outcome of the experiment. Event Experiment: Rolling a die once Outcomes: Any number from 1-6 Sample Space: {1, 2, 3, 4, 5,6} Event: {1}, {2,4,6}, {3,4}
- 13. Experiment: Tossing two coins Outcomes: Sample Space: Event of getting at least one head: Let’s Try! HH, TT, TH, HT {HH, TT, TH, HT} {TH, HT, HH}
- 14. Experiment: Spinning a wheel (r,g,b,y) Outcomes: Sample Space: Event of getting a non-yellow: Let’s Try! Red, Green, Blue, Yellow {Red, Green, Blue, Yellow} {Red,Green,Blue}
- 15. Experiment: Drawing from a deck of 52 cards Outcomes: Sample Space: Event of getting 1: Let’s Try! Any of the 52 cards 13 Diamonds, 13 Hearts, 13 Spades, 13 Clubs (Ace,2,3,4,5,6,7,8,9,10,Jack,Queen, King) {1 heart, 1 diamond, 1 Spade, 1 Club}
- 16. Experiment: Tossing a coin and rolling a die Outcomes: Sample Space: Event (all outcomes with head): {H1, H2, H3, H4, H5, H6} Let’s Try! H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6 {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
- 17. How many possible outcomes are there in rolling two dice? What are those? How about this? Answer: 36 outcomes
- 18. Determine if the given statements illustrate an Experiment, Outcome, Sample Space, or an Event. 1. Choosing a colored marble in a box 2. Getting a number that is divisible by 2 3. {Monday, Tuesday, Wednesday, Thursday, Friday} 4. Any of the two genders (Boy or Girl) 5. Picking a paper with colors of the rainbow written on it Experiment Event Sample Space Outcomes Experiment
- 19. Given Event 1. at least 3? 2. between 4 and 7? 3. less than 6? 4. at most 5? 5. greater than 4? Numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 are written separately in a piece of paper. They are folded and put in a box. One piece of paper is chosen randomly. What is the event of getting a number? {3, 4, 5, 6, 7, 8, 9} {5, 6} {1, 2, 3, 4, 5} {1, 2, 3, 4, 5} {5, 6, 7, 8,9}