Day 16: Data and Probability Goal: To determine the experimental or theoretical probability of an event. Standard: – Select and apply counting procedures, such as the multiplication and addition principles and tree diagrams, to determine the size of a sample space (the number of possible outcomes) and to calculate probabilities. Guiding Question: How can I determine the probability of an event? Materials: Pencil, Folder, Student Packet 1

Conversions: How many inches are in 6 feet? "When converting make sure your labels cancel” Time: "The short hand on the clock gives the hour, the long hand gives the minute" Find the perimeter: "Perimeter is the distance around an object" Reflection Starters: “I know……” or “I need to work on……” Math Review Day 16 Menta l Math 2

Access: Write the percent: A)3/10 B) 18/90 Write the fraction: A)40% B) 35% Write the decimal: A) 18% B) 1/5 3

Experiment: Trial: Outcome: Sample Space: Identify the sample space and the outcome of A)rolling a number cube. A)Flipping a coin 4

Event: Probability: 5

Write impossible, unlikely, as likely as not, likely, or certain to describe each event. A)A shoe selected from a pair of shoes fits the right foot B) Katrina correctly guesses the last digit of a phone number C) Max pulls a green marble from a bag of all green marbles D) A radomonly selected month contains the letter R 6

Try: Write impossible, unlikely, as likely as not, likely or certain to describe the event: A)Anthony rolls a number less than 7 on a standard number cube. B) A coin lands heads up C) There are 31 days in August D) You roll a 10 on a standard number cube. 7

Experimental Probability: An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of each event: A)the spinner lands on orange B) The spinner does not land on orange. Green15 Orange10 Purple8 Pink7 8

A manufacturer inspects 500 strollers and finds 498 have no defects A)what is the experimental probability that a stroller chosen at random has no defects? B) The manufacturer shipped 3500 strollers to a distribution center. Predict the number of strollers that are likely to have no defects. 9

Try: One game of bowling consists of ten frames. Elyse usually rolls 3 strikes in each game. A)What is the experimental probability that Elyse will roll a strike on any frame? B) Predict the number of strikes Elyse will throw in 18 games. 10

Theoretical Probability: An experiment consists of rolling a number cube. Find the theoretical probability of each outcome: A)rolling a 5 B)rolling an odd number C) rolling a number less than 3 11

Try: Find the Theoretical probability of each: A)flipping 2 coins and both landing on heads B) rolling a number divisible by 3 on a number cube You have a 1/50 chance of winning, what is the probability of not winning? 12

A box contains only red, black and white blocks. The probability of choosing a red block is 1/4, the probability of choosing a black block is 1/2. What is the probability of choosing a white block? Try: The probability of randomly choosing a blue marble from a bag of 5 blue marbles, 8 red marbles and 7 yellow marbles? 13

Exit Slip: (on a half-sheet of scratch paper) A) The neighbor's dog barked at Tana the last 4 out of 5 times she walked by the house. i) What is the experimental probability that the dog barks at Tana when she walks past the house? ii) Predict the number of times the dog will bark at Tana if she walks past the house 45 times. B) Find the theoretical probability of randomly choosing B from the letters in ALGEBRA. C) The probability that it will be sunny is 15%. What is the probability that it will not be sunny? 14