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Understanding Probability: Homework Assignment and Key Concepts

In this assignment, you will explore the concepts of experimental and theoretical probability. For your homework, complete problems on pages 295 and 309 of your textbook, focusing on finding the probability of events. This includes experiments like spinning a spinner and rolling dice to see how theoretical probabilities compare with experimental outcomes. Remember to record your findings and analyze whether they match the theoretical expectations. Engage with the concepts of likelihood, odds, and probability ranges.

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Understanding Probability: Homework Assignment and Key Concepts

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  1. Do Now 4/5/11 • Take out HW from yesterday. • Text p. 295, #6-12 all • Copy HW in your planner. • Textbook page 309, #3-7 all, 11a & b, 17 & 18 • In your notebook, find the length of BF given that ABCD ~ CEFG. B F C x 9 cm 12 cm E G 4 cm A D

  2. 6) 24 inches 7) 15 mm 8) 9 cm 9) 12.5 yd 10) 6 ft 11) 9 m 12) a. 63 in. b. 15.75 ft. or 15 ft. 9 in. HomeworkText p. 295, #6-12 all

  3. Objective SWBAT find the probability of an event.

  4. Section 6.7 “Probability and Odds” Experimental probability- performing an experiment and testing data. Theoretical probability- mathematically tells you how likely it is that an event will happen.

  5. “Probability of an Event”

  6. “Interpreting Probabilities” • The probability of something occurring is always between 0 and 1. Likely to occur Unlikely to occur 0.25 0.75 1 0 0.5 Occurs ½ the time Certain to occur Impossible

  7. “Theoretical Probability” A probability is always written as a ratio or fraction Number of RED regions Total number of regions What is the probability (your chances) of landing the spinner on a RED region? How about a BLUE region? How many denominations is the whole broken up into? How many are RED?

  8. “Experimental Probability” Draw the following circle chart on your paper. Shade in the blue areas on your chart with your pencil. Using your pencil and a paperclip spin your spinner 8 times. Record the number of times where the spinner stopped. Do your experimental outcomes match the theoretical outcomes? Why or why not?

  9. “Roll the Dice” • Suppose you are rolling a two 6-sided number cubes and finding the sum of the rolls. What is the probability that you will roll a 7? What is the probability that you will roll a prime number? a composite number?

  10. NJASK7 Prep Homework • Textbook page 309, #3-7 all, 11a & b, 17 & 18

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