HW #22 Enriched
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For Exercises 1–3, use the spinner at the right.What is each probability written as a fractionin simplest form?
1. P(C)
2. P(vowel)
3. P(not D)
For Exercises 4–6, what is the total number of outcomes in eachsample space?
4. picking a month of the year and tossing a coin
5. rolling a number cube and tossing a nickel
6. choosing a setting on a washing machine from regular, delicate, orextra dirty; hot, warm, or cold water; regular rinse or extra rinse
7. What is the total number of outcomes for choosing a numberfrom 1 to 10 and a day of the week? Use the FundamentalCounting Principle.
For Exercises 9 and 10, Bailey tossed a coin 10 times. The resultswere 7 heads and 3 tails.
9. What is the experimental probability of tossing tails?
10. What is the best comparison between the theoretical andexperimental probability of tossing heads?
F. The theoretical probability is greater than the experimentalprobability.
G. The theoretical probability is less than the experimentalprobability.
H. The theoretical probability is equal to the experimentalprobability.
I. The theoretical probability is not related to the experimentalprobability.
11. A bag contains 4 red marbles and 2 white marbles. A marbleis selected, kept out of the bag, and then another marble isselected. What is P(red, then white)?
Simulations
1. STATE FAIR At a state fair, there are 10 animal exhibits, 12 gardening exhibits, and
8 farm equipment exhibits. Describe a model that you could use to simulate randomlychoosing an exhibit to visit.
2. WEATHER Suppose during springtime it rains about 40% of the time when school isdismissed for the day. Describe a model that could be used to simulate whether it willbe raining when school is dismissed on a particular day during springtime.
For Exercises 3 and 4, use the following information.A sports company randomly sends out various cards of 8 different sports.
3. Describe a model that could be used to simulate which sport would be sent out. Explain.
4. How could this simulation be used to determine the sport of the next 20 cards thecompany sends out.
5. EXPERIMENT Suppose a lab rat enters the box with fouropenings as shown. If each decision about the direction ismade at random, create a simulation to determine theprobability that the lab rat will leave the box before goingthrough 5 intersections.
For Exercises 6–9, describe a situation that can be modeled using the givensimulation.
6. spinning a spinner with 6 equal sections and tossing a coin
7. tossing four coins
8. rolling a number cube and tossing a coin
9. 1 marble chosen from a bag containing 11 red marbles and 4 blue marbles
10. A store is handing out coupons worth 10%, 15%, 20%, or 25% off. Each coupon is equally likely to be handed out. Which of the following models could be used to simulate this situation?
F. flipping a coin four times
G. spinning a spinner with four equal sections
H. rolling a number cube labeled one through six one time
I. rolling a number cube labeled one through six four times