Introduction to Probability PDF

Introduction to Probability La Salle College Antipolo  Learning Targets ✓ Recall probability ✓ Identify terminologies of probability ✓ Find sample space of an experiment ✓ Identify the probability of an event  Essential Question How can understanding the concept of proba...

Introduction to Probability La Salle College Antipolo  Learning Targets ✓ Recall probability ✓ Identify terminologies of probability ✓ Find sample space of an experiment ✓ Identify the probability of an event  Essential Question How can understanding the concept of probability helps to make good decisions in different situations, and what real-world situations show the importance of probability?  RECAP Population Descriptive - Parameter Statistics Data Sample Inferential - Statistic Data Discrete Quantitative Variables Continuous Qualitative NAME IT! NAME IT! NAME IT! Retrieved from https://www.youtube.com/watch?v=9IPGXq4LBEY  Probability Is a branch of mathematics concerned with analyzing the chance that a particular event will occur. Its purpose is to attempt to predict the likelihood that something will or will not happen.  Experiment Any activity which can be done repeatedly under similar conditions Sample Space (S) The set of all possible outcomes in an experiment Event (E) A subset of a sample space  Experiment and Sample Space Experiment Sample Space Tossing of coin Head or Tail Roll a die 1, 2, 3, 4, 5, 6 True or False True or False Tossing of two coins HH, TT, HT, TH  Probability of an Event Is a ratio that compares the number of favorable outcomes to the number of possible outcomes. Number of outcomes favoring the event Probability = Total number of outcomes 𝑛(𝐸) p(E) = 𝑛(S)  Probability of an Event Tossing of coin Find the probability of getting a tail 𝑛 𝐸 1 p E = p E = 𝑛 S 2 The probability of getting a tail is 50%  Probability of an Event Rolling a die Find the probability of getting an even number 𝑛 𝐸 3 1 p E = p E = 𝑜𝑟 𝑛 S 6 2 The probability of getting an even number is 50%  Probability of an Event Tossing of two coins Find the probability of getting two tails 𝑛 𝐸 1 p E = p E = 𝑛 S 4 The probability of getting two tails is 25%  Probability of an Event Drawing a card from an ordinary deck of cards Total number of sample space is 52 tps://freesvg.org/vector-drawing-of-the-four-suits-in-a-deck-of-cards tps://commons.wikimedia.org/wiki/File:Ace_of_spades.svg  Probability of an Event Drawing a card from an ordinary deck of cards What is the probability of getting the following: 1. A red card 2. A diamond card 3. An ace of clubs 4. A King 5. Not a face card  Let’s Try: Do the experiment! Perform the experiment and answer the questions given. Tossing of three coins 1. How many possible outcomes are there? 2. What is the sample space of the experiment?  Let’s Try: Do the experiment! Tossing of three coins 3. What is the probability of getting exactly two heads? 4. What is the probability of getting at least two heads? 5. What is the probability of getting three heads?  Let’s Try: Do the experiment! Perform the experiment and answer the questions given. Rolling 2 dice 1. How many possible outcomes are there? 2. What is the sample space of the experiment?  Let’s Try: Do the experiment! Rolling 2 dice 3. What is the probability of getting a sum that is even number? 4. What is the probability of getting sum that is higher than 12? 5. What is the probability of getting sum between 1 and 13?  Introduction to Probability Define sample space. What is the formula in finding the probability of an event? What is sample space and event? Differentiate sample space and event.  Essential Question How can understanding the concept of probability helps to make good decisions in different situations, and what real-world situations show the importance of probability?  Probability Is a branch of mathematics concerned with analyzing the chance that a particular event will occur. Its purpose is to attempt to predict the likelihood that something will or will not happen.