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P.O.D. #5

P.O.D. #5. basic. advanced. Mr. Mulvey will choose one student from each of the two groups below to present their history reports to the class. What is the probability that he will choose Brian and Stephan?.

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P.O.D. #5

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  1. P.O.D. #5 basic advanced Mr. Mulvey will choose one student from each of the two groups below to present their history reports to the class. What is the probability that he will choose Brian and Stephan? Paige needs to get dressed (D), brush her teeth (T), pack her lunch (L), and make her bed (B) before she leaves for school. She always makes her bed after she packs her lunch. List all of the possible ways she could complete her tasks. LBTD, TLBD, DLBT, LBDT, TDLB, DTLB RT, RS, DT, DS, BT, BS 1 6 P (B,S) =

  2. Simulations A simulation is an experiment that is designed to model the action in a given situation.

  3. Ways to simulate the probability of an event: • Coin toss • Number cube • Use a spinner • Random number generator • Bag of marbles • Deck of cards http://www.random.org/integers

  4. Example: Mr. Johnson has six neckties. Each day he picks one of his 6 ties at random to wear to work that day. Design a simulation that could be used to model this situation. - Assign a number to each tie. - Roll a number cube to simulate randomly picking a tie. 1 2 3 4 5 6

  5. Simulations can also be used to model events in which the outcomes are not equally likely.

  6. Example: During the regular season, Jasai made 80% of his free throws. Describe an experiment to find the experimental probability of Jasai making his next two free throws. Possible student answer: Fill a jar with 80 green and 20 red marbles. Let green represent made free throws and red represent missed free throws. Randomly pull a marble out of the jar and record the result. Replace the marble and repeat a second time.

  7. Guided Practice: Work with a partner Sabrina plays goalie on her soccer team. She usually stops 2 out of every 6 penalty kicks. Use a number cube to determine the experimental probability that she stops 2 penalty kicks in a row.

  8. Guided Practice: Work with a partner A local shop randomly gives coupons to 3 out of every 8 customers. Use a spinner to determine the probability that a customer will receive a coupon two days in a row.

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