2. P.O.D. #4 basicadvanced A coin is flipped 12 times. It lands on tails 8 times. Based on this experiment, how many times would tails come up if you flipped the coin 32 times? Cole rolls an odd number on a number cube 55% of the time during an experiment. Based on this experimental probability, how many times would he roll an odd number if he rolls the cube 25 times? 8 12 x 32 = 55 100 x 25 =

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

4. 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

5. Mr. Hall 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. 123456 Example:

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

7. During the regular season, Gary made 80% of his free throws. Describe an experiment to find the experimental probability of Gary 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.

8. Guided Practice: Work with a partner Angel 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.

9. 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.

10. Let’s try a few on our own: Pg. 337-338 #1-12 all