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Introduction to Probability Click to go to Table of Contents - PDF document

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Slide 1 / 188 Slide 2 / 188 7th Grade Statistics and Probability 2015-11-19 www.njctl.org Slide 3 / 188 Table of Contents Click on a topic to go to that section. Introduction to Probability Experimental and Theoretical Sampling

  1. Slide 1 / 188 Slide 2 / 188 7th Grade Statistics and Probability 2015-11-19 www.njctl.org Slide 3 / 188 Table of Contents Click on a topic to go to that section. · Introduction to Probability · Experimental and Theoretical · Sampling · Word Problems · Probability of Compound Events · Measures of Center Measures of Variation · Mean Absolute Deviation · Glossary ·

  2. Slide 3 (Answer) / 188 Table of Contents Click on a topic to go to that section. · Introduction to Probability · Experimental and Theoretical Vocabulary Words are bolded Teacher Notes · Sampling in the presentation. The text · Word Problems box the word is in is then · Probability of Compound Events linked to the page at the end · Measures of Center of the presentation with the Measures of Variation · word defined on it. Mean Absolute Deviation · Glossary · [This object is a pull tab] Slide 4 / 188 Introduction to Probability Click to go to Table of Contents Slide 5 / 188 Probability One way to express probability is to use a fraction. Number of favorable outcomes Probability = of an event Total number of P(event) possible outcomes

  3. Slide 6 / 188 Probability Example: What is the probability of flipping a nickel and the nickel landing on heads? click Step 1: What are the possible outcomes? Step 2: What is the number of favorable outcomes? click Step 3: Put it all together to answer the question. The probability of flipping a nickel and landing on heads is: 1 click 2 Slide 6 (Answer) / 188 Probability Example: What is the probability of flipping a nickel and the nickel landing on heads? The outcomes become your denominator. click Step 1: What are the possible outcomes? P(heads) = Answer Step 2: What is the number of favorable outcomes? The favorable outcomes become click your numerator. Step 3: Put it all together to answer the question. P(heads) = [This object is a pull tab] The probability of flipping a nickel and landing on heads is: 1 click 2 Slide 7 / 188 Probability Probability can be expressed in many forms. For example, the probability of flipping a head can be expressed as: 1 or 50% or 1:2 or 0.5 2 The probability of randomly selecting a blue marble can be expressed as: 1 or 1:6 or 16.7% or .167 6

  4. Slide 8 / 188 Probability When there is no chance of an event occurring, the probability of the event is zero (0). When it is certain that an event will occur, the probability of the event is one (1). Equally Likely e l b y n i s l e y i s a k o l e t i p l r n k e m U i L C I 0 1 1 3 1 4 2 4 The less likely it is for an event to occur, the probability is closer to 0 (i.e. smaller fraction). The more likely it is for an event to occur, the probability is closer to 1 (i.e. larger fraction). Slide 9 / 188 Probability Without counting, can you determine if the probability of picking a red marble is lesser or greater than 1/2? It is very likely you will pick a red marble, so the probability is greater than 1/2 (or 50% or 0.5) Click to Reveal 5 Click What is the probability of picking a red marble? to Reveal 6 Add the probabilities of both events. What is the sum? 1 + 5 = 1 6 6 Click to Reveal Slide 10 / 188 Probability Note: The sum of all possible outcomes is always equal to 1. There are three choices of jelly beans - grape, cherry and orange. If the probability of getting a grape is 3/10 and the probability of getting cherry is 1/5, what is the probability of getting orange? 3 + 1 + ? = 1 10 5 ? 5 + ? = 1 10 ? The probability of getting an orange jelly bean is 5 . 10

  5. Slide 11 / 188 1 Arthur wrote each letter of his name on a separate card and put the cards in a bag. What is the probability of drawing an A from the bag? A 0 B 1/6 Probability = Number of favorable outcomes Total number of possible outcomes C 1/2 Click for hint D 1 A R T H U R Slide 11 (Answer) / 188 1 Arthur wrote each letter of his name on a separate card and put the cards in a bag. What is the probability of drawing an A from the bag? A 0 B 1/6 Probability = Number of favorable outcomes Total number of possible outcomes Answer Click for hint C 1/2 B D 1 A R T H U R [This object is a pull tab] Slide 12 / 188 2 Arthur wrote each letter of his name on a separate card and put the cards in a bag. What is the probability of drawing an R from the bag? 0 A Probability = Number of favorable outcomes B 1/6 Total number of possible outcomes Click for hint C 1/3 D 1 A R T H U R A

  6. Slide 12 (Answer) / 188 2 Arthur wrote each letter of his name on a separate card and put the cards in a bag. What is the probability of drawing an R from the bag? A 0 Probability = Number of favorable outcomes B 1/6 Total number of possible outcomes Answer Click for hint C 1/3 C D 1 A R T H U R A [This object is a pull tab] Slide 13 / 188 3 Matt's teacher puts 5 red, 10 black, and 5 green markers in a bag. What is the probability of Matt drawing a red marker? A 0 B 1/4 C 1/10 D 10/20 Probability = Number of favorable outcomes Total number of possible outcomes Click for hint Slide 13 (Answer) / 188 3 Matt's teacher puts 5 red, 10 black, and 5 green markers in a bag. What is the probability of Matt drawing a red marker? A 0 B 1/4 Answer B C 1/10 D 10/20 [This object is a pull tab] Probability = Number of favorable outcomes Total number of possible outcomes Click for hint

  7. Slide 14 / 188 4 What is the probability of rolling a 5 on a fair number cube? Slide 14 (Answer) / 188 4 What is the probability of rolling a 5 on a fair number cube? Answer 1/6 [This object is a pull tab] Slide 15 / 188 5 What is the probability of rolling a composite number on a fair number cube?

  8. Slide 15 (Answer) / 188 5 What is the probability of rolling a composite number on a fair number cube? Answer 1/3 [This object is a pull tab] Slide 16 / 188 6 What is the probability of rolling a 7 on a fair number cube? Slide 16 (Answer) / 188 6 What is the probability of rolling a 7 on a fair number cube? Answer 0 [This object is a pull tab]

  9. Slide 17 / 188 7 You have black, blue, and white t-shirts in your closet. If the probability of picking a black t-shirt is 1/3 and the probability of picking a blue t-shirt is 1/2, what is the probability of picking a white t-shirt? Slide 17 (Answer) / 188 7 You have black, blue, and white t-shirts in your closet. If the probability of picking a black t-shirt is 1/3 and the probability of picking a blue t-shirt is 1/2, what is the probability of picking a white t-shirt? Answer 1/6 [This object is a pull tab] Slide 18 / 188 8 If you enter an online contest 4 times and at the time of drawing its announced there were 100 total entries, what are your chances of winning?

  10. Slide 18 (Answer) / 188 8 If you enter an online contest 4 times and at the time of drawing its announced there were 100 total entries, what are your chances of winning? Answer 1/25 [This object is a pull tab] Slide 19 / 188 9 Mary chooses an integer at random from 1 to 6. What is the probability that the integer she chooses is a prime number? A B C D From the New York State Education Department. Office of Assessment Policy, Development and Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, June, 2011. Slide 19 (Answer) / 188 9 Mary chooses an integer at random from 1 to 6. What is the probability that the integer she chooses is a prime number? A B Answer B C D [This object is a pull tab] From the New York State Education Department. Office of Assessment Policy, Development and Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, June, 2011.

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