Factor Vocab Word 2 Its meaning Introduction to (As it is used - PDF document

Slide 1 / 185 Slide 2 / 185 7th Grade Math Probability 2014-10-30 www.njctl.org Slide 3 / 185 Slide 4 / 185 Vocabulary words are identified with a PROBABILITY dotted underline. Click on a topic to go to that section. Sometimes when you subtract the fractions, · Introduction to Probability you find that you can't because the first · Experimental and Theoretical numerator is smaller than the second! When · Sampling this happens, you need to regroup from the · Word Problems whole number. (Click on the dotted underline.) · Probability of Compound Events · Measures of Center How many thirds are in 1 whole? Measures of Variation · Mean Absolute Deviation How many fifths are in 1 whole? · Glossary · How many ninths are in 1 whole? The underline is linked to the glossary at the end of the Notebook. It can also be printed for a word wall. Common Core: 7.SP.1-8 Slide 5 / 185 Slide 6 / 185 The charts have 4 parts. 1 Factor Vocab Word 2 Its meaning Introduction to (As it is used A whole number A whole number Probability that can divide into that multiplies with in the another number another number to lesson.) with no remainder. make a third number. 5 .1 R 15 3 5 3 16 3 is a factor of 15 3 is not a 3 x 5 = 15 factor of 16 Click to go to 3 Table of Contents Back to 3 and 5 are 4 Instruction factors of 15 Examples/ Link to return to the Counterexamples instructional page.

Slide 7 / 185 Slide 8 / 185 · One way to express probability is to use a fraction. Example: What is the probability of flipping a nickel and the nickel landing on heads? Number of click Pull Step 1: What are the possible outcomes? favorable outcomes Pull Pull Pull Probability = of an event Total number of Step 2: What is the number of favorable outcomes? P(event) possible 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 9 / 185 Slide 10 / 185 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 event is one (1). 1 or 50% or 1:2 or 0.5 2 Equally Likely e l b Unlikely i n s Likely i s a o t p r e m 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 11 / 185 Slide 12 / 185 Note: Without counting, can you determine if the probability of The sum of all possible outcomes is always equal to 1. 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) There are three choices of jelly beans - grape, cherry and orange. Click to Reveal If the probability of getting a grape is 3/10 and the probability of Click 5 getting cherry is 1/5, what is the probability of getting orange? What is the probability of picking a red marble? to 6 Reveal 3 + 1 + ? = 1 Add the probabilities of both events. What is the sum? 10 5 ? 1 + 5 = 1 6 6 5 + ? = 1 Click to Reveal 10 ? The probability of getting an orange jelly bean is 5 . 10

Slide 13 / 185 Slide 14 / 185 1 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 A from the bag? probability of drawing an R from the bag? A 0 A 0 Need a hint? Probability = Number of favorable outcomes Need a hint? B 1/6 B 1/6 Probability = Number of favorable outcomes Total number of possible outcomes Click the box. Click the box. Total number of possible outcomes C 1/2 C 1/3 D 1 D 1 A R T H U R A A R T H U R Pull Pull Pull Pull Slide 15 / 185 Slide 16 / 185 3 Matt's teacher puts 5 red, 10 black, and 5 green 4 What is the probability of rolling a 5 on a fair number markers in a bag. What is the probability of Matt cube? drawing a red marker? A 0 Pull Pull 1/4 B 1/10 C D 10/20 Pull Pull Probability = Number of favorable outcomes Need a hint? Total number of possible outcomes Click the box. Slide 17 / 185 Slide 18 / 185 5 What is the probability of rolling a composite 6 What is the probability of rolling a 7 on a fair number number on a fair number cube? cube? Pull Pull Pull Pull

Slide 19 / 185 Slide 20 / 185 7 You have black, blue, and white t-shirts in your 8 If you enter an online contest 4 times and at the closet. If the probability of picking a black t-shirt is time of drawing its announced there were 100 1/3 and the probability of picking a blue t-shirt is 1/2, total entries, what are your chances of winning? what is the probability of picking a white t-shirt? Pull Pull Pull Pull Slide 21 / 185 Slide 22 / 185 10 Each of the hats shown below has colored marbles placed inside. Hat A 9 Mary chooses an integer at random from 1 to 6. What is the contains five green marbles and four red marbles. Hat B contains six blue marbles and five red marbles. Hat C contains five green marbles and five blue probability that the integer she chooses is a prime number? marbles. If a student were to randomly pick one marble from each of these three hats, A determine from which hat the student would most likely pick a green marble. Justify your answer. B Hat A Hat B Hat C C Pull Pull Pull Pull D 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. Slide 23 / 185 Slide 24 / 185 Determine the fewest number of marbles, if any, and the color of these marbles that could be added to each hat so that the probability of picking a green marble will be one-half in each of the three hats. Experimental Hat A contains five green marbles and four red marbles. & Hat B contains six blue marbles and five red marbles. Hat C contains five green marbles and five blue marbles. Theoretical Probability Pull Pull Hat A Hat B Hat C Click to go to Table of Contents 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 25 / 185 Slide 26 / 185 Experimental Probability Click on an object. What is the outcome? Probability number of times the outcome happened of an event number of times experiment was repeated Flip the coin 5 times and determine the experimental probability of heads. Answers Heads Tails Slide 27 / 185 Slide 28 / 185 Experimental Probability Experimental Probability Example 2 - Surveys Example 1 - Golf Of the first 40 visitors through the turnstiles at an A golf course offers a free game to golfers who make a amusement park, 8 visitors agreed to participate in a hole-in-one on the last hole. Last week, 24 out of 124 survey being conducted by park employees. Find the golfers achieved this. Find the experimental probability that experimental probability that an amusement park visitor a golfer makes a hole-in-one on the last hole. will participate in the survey. # of successes = 24 = 6 P(hole-in-one) = = 8 # of successes = 1 124 P(participation) = # of trials 31 40 # of trials 5 Out of 31 golfers, you could expect 6 to make a You could expect 1 out of every 5 people to hole-in-one on the last hole. Or there is a 19% chance of a golfer participate in the survey. Or there is a 20% chance of a making a hole-in-one on the last hole. visitor participating in the survey. Slide 29 / 185 Slide 30 / 185 What is the experimental probability of rolling a 5? Sally rolled a die 10 times and the results are shown 11 below. A 1/2 # on Die Picture of Roll Results Use this information to answer the following questions. B 5/4 1 1 one # on Die Picture of Roll Results C 2 3 twos 4/5 1 1 one 3 1 three D 2/5 2 3 twos 4 0 fours 3 1 three 5 4 fives Pull Pull 4 0 fours 1 six 6 5 4 fives These are the results after 10 rolls of the die 6 1 six