P.O.D. #5basic advancedA 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?

812

x32= 55

100 x25

=

Simulations

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

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

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.

1 2 3 4 5 6

Example:

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

Example:

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

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.

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.