Introduction to Number of Probability favorable outcomes - PDF document

Slide 1 / 188 Slide 2 / 188 7th Grade Statistics and Probability 2015-11-19 www.njctl.org Slide 3 / 188 Slide 3 (Answer) / 188 Table of Contents Table of Contents Click on a topic to Click on a topic to go to that section. go to that section. · Introduction to Probability · Introduction to Probability · Experimental and Theoretical · Experimental and Theoretical Vocabulary Words are bolded Teacher Notes · Sampling · Sampling in the presentation. The text · Word Problems · Word Problems box the word is in is then · Probability of Compound Events · Probability of Compound Events linked to the page at the end · Measures of Center · Measures of Center of the presentation with the Measures of Variation Measures of Variation · · word defined on it. Mean Absolute Deviation Mean Absolute Deviation · · Glossary Glossary · · [This object is a pull tab] Slide 4 / 188 Slide 5 / 188 Probability One way to express probability is to use a fraction. Introduction to Number of Probability favorable outcomes Probability = of an event Total number of P(event) possible outcomes Click to go to Table of Contents

Slide 6 / 188 Slide 6 (Answer) / 188 Probability Probability Example: What is the probability of flipping a nickel and the Example: What is the probability of flipping a nickel and the nickel landing on heads? nickel landing on heads? The outcomes become your denominator. click click Step 1: What are the possible outcomes? Step 1: What are the possible outcomes? P(heads) = Answer Step 2: What is the number of favorable outcomes? Step 2: What is the number of favorable outcomes? The favorable outcomes become click click your numerator. Step 3: Put it all together to answer the question. 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 The probability of flipping a nickel and landing on heads is: 1 is: 1 click click 2 2 Slide 7 / 188 Slide 8 / 188 Probability Probability When there is no chance of an event occurring, the probability of the event is zero (0). Probability can be expressed in many forms. For example, the probability of flipping a head can be expressed as: When it is certain that an event will occur, the probability of the 1 or 50% or 1:2 or 0.5 event is one (1). Equally Likely 2 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 The probability of randomly selecting a blue marble can be probability is closer to 0 (i.e. smaller fraction). expressed as: The more likely it is for an event to occur, the 1 or 1:6 or 16.7% or .167 probability is closer to 1 (i.e. larger fraction). 6 Slide 9 / 188 Slide 10 / 188 Probability Probability Note: The sum of all possible outcomes is always equal to 1. Without counting, can you determine if the probability of picking a red marble is lesser or greater than 1/2? There are three choices of jelly beans - grape, cherry and orange. It is very likely you will pick a red marble, so the If the probability of getting a grape is 3/10 and the probability of probability is greater than 1/2 (or 50% or 0.5) getting cherry is 1/5, what is the probability of getting orange? Click to Reveal 5 3 + 1 + ? = 1 Click What is the probability of picking a red marble? to 10 5 ? Reveal 6 Add the probabilities of both events. What is the sum? 5 + ? = 1 10 ? 1 + 5 = 1 6 6 The probability of getting an orange jelly bean is 5 . Click to Reveal 10

Slide 11 / 188 Slide 11 (Answer) / 188 1 Arthur wrote each letter of his name on a separate 1 Arthur wrote each letter of his name on a separate card and put the cards in a bag. What is the card and put the cards in a bag. What is the probability of drawing an A from the bag? probability of drawing an A from the bag? A 0 A 0 B 1/6 Probability = Number of favorable outcomes B 1/6 Probability = Number of favorable outcomes Total number of possible outcomes Total number of possible outcomes Answer Click for hint Click for hint C 1/2 C 1/2 B D 1 D 1 A R T H U R A R T H U R [This object is a pull tab] Slide 12 / 188 Slide 12 (Answer) / 188 2 Arthur wrote each letter of his name on a separate 2 Arthur wrote each letter of his name on a separate card and put the cards in a bag. What is the card and put the cards in a bag. What is the probability of drawing an R from the bag? probability of drawing an R from the bag? A 0 A 0 Probability = Number of favorable outcomes Probability = Number of favorable outcomes B 1/6 B 1/6 Total number of possible outcomes Total number of possible outcomes Answer Click for hint Click for hint C 1/3 C 1/3 C D 1 D 1 A A R T H U R A R T H U R A [This object is a pull tab] Slide 13 / 188 Slide 13 (Answer) / 188 3 Matt's teacher puts 5 red, 10 black, and 5 green 3 Matt's teacher puts 5 red, 10 black, and 5 green markers in a bag. What is the probability of Matt markers in a bag. What is the probability of Matt drawing a red marker? drawing a red marker? A 0 A 0 B 1/4 B 1/4 Answer B C 1/10 C 1/10 D 10/20 D 10/20 [This object is a pull tab] Probability = Number of favorable outcomes Probability = Number of favorable outcomes Total number of possible outcomes Total number of possible outcomes Click for hint Click for hint

Slide 14 / 188 Slide 14 (Answer) / 188 4 What is the probability of rolling a 5 on a fair number 4 What is the probability of rolling a 5 on a fair number cube? cube? Answer 1/6 [This object is a pull tab] Slide 15 / 188 Slide 15 (Answer) / 188 5 What is the probability of rolling a composite 5 What is the probability of rolling a composite number on a fair number cube? number on a fair number cube? Answer 1/3 [This object is a pull tab] Slide 16 / 188 Slide 16 (Answer) / 188 6 What is the probability of rolling a 7 on a fair number 6 What is the probability of rolling a 7 on a fair number cube? cube? Answer 0 [This object is a pull tab]

Slide 17 / 188 Slide 17 (Answer) / 188 7 You have black, blue, and white t-shirts in your 7 You have black, blue, and white t-shirts in your closet. If the probability of picking a black t-shirt is 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, 1/3 and the probability of picking a blue t-shirt is 1/2, what is the probability of picking a white t-shirt? what is the probability of picking a white t-shirt? Answer 1/6 [This object is a pull tab] Slide 18 / 188 Slide 18 (Answer) / 188 8 If you enter an online contest 4 times and at the 8 If you enter an online contest 4 times and at the time of drawing its announced there were 100 time of drawing its announced there were 100 total entries, what are your chances of winning? total entries, what are your chances of winning? Answer 1/25 [This object is a pull tab] Slide 19 / 188 Slide 19 (Answer) / 188 9 Mary chooses an integer at random from 1 to 6. What is 9 Mary chooses an integer at random from 1 to 6. What is the probability that the integer she chooses is a prime the probability that the integer she chooses is a prime number? number? A A B B Answer B C C D D [This object is a pull tab] From the New York State Education Department. Office of Assessment Policy, Development and From the New York State Education Department. Office of Assessment Policy, Development and Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, June, 2011. June, 2011.