Honors Math Problem Solving

PACKET

  1. REVIEW

1.)If you were playing a game with spinner above, what number would you predict to be chosen most often? Explain.

2.)Estimate: what is the probability of landing on “1”?

3.)Imagine you spun the spinner above 100 times, how many times would you expect it to land on “1”? Use your response to #2 to aid your answer.

  1. EXPERIMENTAL PROBABILITY

TRIAL #1 – BLUE OR RED?

1.)You and your partner(s) have a “fair” spinner. What is the probability of spinning red? What is the probability of spinning blue? Be sure to express your answers using proper probability vocabulary (P (-) =…).

2.)This trial will require you to spin the spinner 10 times. How many times do you expect the spinner to land on red? How many times do you expect do you expect the spinner to land on blue? Explain.

3.)TRIAL –Spinten times. Take turns spinning. Go slowly and keep very close track of the results (don’t go over 10!). Use a line plot to record the results of each spin.

Students who do not follow directions or disrupt class will receive a zero.

4.)Summarize your results. Compare the results to the probability you found and your prediction. Are your results surprising?

Go to the Advance if you are done…

III.DEFINING PROBABILITIES

  1. WHY HAVE PROBABLITY?

GroupNumber of Reds (Fractional)Percentage of Reds

1.)How many groups had exactly 5 reds (50%)?

2.)What is the average percent of reds for each group?

3.) Let’s observe the data….

  1. MAKE A PREDICTION

DIRECTIONS: Use theoretical probability to predict the number of given events for the following scenarios.

1.) How many times would you predict this spinner would land on C if it were spun twenty times? Show work.

2.) How many times would you predict this spinner would land on D if it were spun two hundred times? Show work.

3.) How many times would you predict this spinner would land on A or B if it were spun 1,000 times? Show work.

4.) Chad and Anna are playing a game with the spinner above. Chad is upset because he has spun four D’s in a row. He claims the spinner is broken, because A, B, C, D should have all come up once. Explain to Chad why this is possible. (Use today’s lab for help.)

Write whether each event is certain, likely, unlikely, or impossible. Remember:

Certain =Always(100%)

Likely = Usually (Above 50%)

Unlikely = Probably Not (Less than 50%)

Impossible = Never (0%)

1. / The following coins are put in a bag:

Describe the probability of picking a dime.

/ 2. / A number from the following list is chosen at random:6, 94, 85, 38, 16, 42, 90, 19, 7, 14, and 44. Describe the probability of picking an even number.

3. / The following coins are put in a bag:

Describe the probability of picking a dime.

/ 4. / A glass jar contains a total of 37 marbles. The jar has blue and green marbles. There are 30 blue marbles. Describe the probability of picking a green marble.

5. / A number from the following list is chosen at random:9, 7, 15, 55, 69, and 5. Describe the probability of picking an odd number.

/ 6. / A glass jar contains a total of 25 marbles. The jar has purple and yellow marbles. There are 5 yellow marbles. Describe the probability of picking a yellow marble.

7. / The following coins are put in a bag:

Describe the probability of picking a nickel.

/ 8. / The following coins are put in a bag:

Describe the probability of picking a penny.

9. / A glass jar contains a total of 34 marbles. The jar has red and blue marbles. There are 27 red marbles. Describe the probability of picking a red marble.

/ 10. / A glass jar contains a total of 29 marbles. The jar has green and blue marbles. There are 24 green marbles. Describe the probability of picking a red marble.

Complete. Use fraction notation for probability (P(-) = …)

1. / You are playing the “shell” game. In this game, there is object (let’s say a coin) hidden under one of three cups and you have to try and guess which cup it is under. What is the probability you will guess correctly on the first try?
/ 2. / If you flip a fair coin six times and it comes up heads each time, does this mean that for some reason the probability of getting heads is greater than the probability of getting tails on that particular day?
3. / Isaac thinks of a whole number between one and twenty-four. He then asks his mom to guess what number he is thinking of. Assuming Isaac is not known to have any number preference or predictable pattern to his number picking, what is the probability that his mom will correctly guess what number he is thinking of?
/ 4. / Amber bought a bag containing assorted hard candies from the local corner store. All the candies are the same size and shape but they are different colors and flavors. There are five blue ones, two red ones, three purple ones, eleven green ones, and five orange ones. If the bag is shaken really well to mix the candy in the bag, what is the probability that the first candy she pulls out of the bag will not be green?
5. / What is the probability of Mr. Austin choosing you to read in class? (Hint: How many students are in your class…)
/ 6. / Megan is rolling an unusual die that has different colors on each of its fourteen sides. What is the probability that she will roll either a red or a yellow on her first roll?

Probability

Probability, Experimental Probability

© 2006-2007, RPC Numeracy Team

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