List all possible combinations of tossing two coins.

______and ______and ______

______and ______and ______

  1. The theoretical probability of tossing both tails is ______.
  1. The theoretical probability of tossing both heads is ______.
  1. The theoretical probability of tossing a combination of tails and heads is ______.
  1. Why is there a difference in the probabilities? ______

______

Instructions: Toss both coins on the floor a total of 50 times in your group.

Record yourresults in the grid provided:

Tails & Tails / Heads & Heads / Heads & Tails
Total: / Total: / Total:
  1. The actual result for tossing both tails is ______. Did this match the theoretical probability? ____ Why or why not? ______
  1. The actual result for tossing both heads is ______. Did this match the theoretical probability? ____ Why or why not? ______
  1. The actual result for tossing a combination of tails and heads is _____. Did this match the theoretical probability? _____Why or why not? ______
  1. Compare the theoretical probability with the experimental probability using >, <, or = .

Use the spinner that you have on your desk to complete the table below.

Trial / Theoretical Probability
(what should happen) / Experimental Probability
(what actually happened)
P(blue)
P(yellow)
P(green)
P(red)
P(NOT blue)
P(yellow or green)

Labelthe spinner with the correct colors.Spin the spinner a total of 50 times in your group. Tally your spins in the grid below and record your results in the table.

Blue / Yellow / Green / Red
Total: / Total: / Total: / Total:

The spinner now has 2 yellow sections, 1 green section, and 1 red section.

  • What is the theoretical probability of spinning yellow? ______.
  • What is the theoretical probability of spinning yellow or red? ______.
  • If you were to spin the spinner 20 times, how many times would you expect to land on green? ______.
  • P(green) = ______Determine the probability of the complement of the event ______

Write an equation that describes the probability and its complement:

Use the deck of cards you have on your desk to answer the following questions.

  1. The theoretical probability of picking a black card is ______.
  2. Choose a card and replace it. Do this 2 times. Record your results: ______
  3. How did the theoretical probability compare to the experimental probability? (>, <, =)
  1. The theoretical probability of picking a diamond is ______.
  2. Choose a card and replace it. Do this 4 times. Record your results: ______
  3. How did the theoretical probability compare to the experimental probability? (>, <, =)
  1. Determine P(hearts) ______.
  • What are the other possibilities, other than hearts?______
  • In your own words, what does complement mean?

______

  • What is the sum of a probability and its complement?______.
  • Using the probability of some card event, write an equation you can use to determine the probability of its complement: ______.


1)Complete the table of sums to the right. This is the theoretical probability.

2)Roll the number cubes a total of 36 times in your group. Record the sum of each roll.

Trial / Experimental Probability
(what actually happened)
P(2)
P(3)
P(4)
P(5)
P(6)
P(7)
P(8)
P(9)
P(10)
P(11)
P(12)

3)Complete the table below and answer the questions.

  • Theoretically, what number should have been rolled most often?______.
  • What number was actually rolled the most? ______.
  • If you were to continue rolling the number cubes 360 times, how many times would you expect to roll a 7? ______.
  • Write an equation to describe P(7) and its complement: ______

Complete questions 1-4 using the following 3 spinners.

1. Determine the probability of landing on 8 on spinner 2: ______

Determine the probability ofNOT landing on 8 on spinner 2: ______

Describe the relationship between the two: ______+ ______= ______

2. Determine the probability of landing on Green on spinner 3: ______

Determine the NOT landing on Green on spinner 3: ______

Describe the relationship between the two: ______+ ______= ______

3. Determine the probability of landing on on spinner 1: ______Determine the probability of its complement on spinner 1: ______

Describe the relationship between the two: ______+ ______= ______

4. Determine the probability of landing on an even number on spinner 2: ______

Determine the probability of its complement on spinner 2: ______

Describe the relationship between the two: ______+ ______= ______

5.Alex has a box of 100 colored drinking straws. The box contains 30 red straws, 35 green straws, 20 yellow straws, and 15 purple straws. If he selects 1 straw without looking, what is the probability it will be yellow?

F.G. H.J.

6.Jocelyn made a spinner with equal sections, as shown below.

If Jocelyn spins only one time, what is the probability that the arrow will NOT land on a red section of the spinner?

  1. B. C.D.

7.Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is the probability that the marble will be blue?

A.B. C.D.

8.Scott has 5 green marbles, 8 red marbles, 2 purple marbles, and 6 blue marbles in a container. If he draws a marble at random from the container, what is the probability that he will NOT draw a blue marble?

A.B.C.D.

9. Circle the pair of probabilities that do not represent probabilities of complementary events. Explain your reasoning.

______

10. Determine P(green) and P(orange) for the spinner. Express the probabilities as fractions, decimals, and percents.

P(green)

P(orange)