Math notebook, pencil, and possibly calculator. Definitions  An outcome is the result of a single trial of an experiment.  The sample space of an experiment.

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Theoretical Probability

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Presentation transcript:

Math notebook, pencil, and possibly calculator

Definitions  An outcome is the result of a single trial of an experiment.  The sample space of an experiment is the set of all possible outcomes of that experiment.

Example  Hunter, a 7th grader, wants to design a game that involves tossing paper cups. Hunter tosses a paper cup five times and records the outcome of each toss

Let’s Look  Hunter noted that the paper cup could land in one of three ways: on its side, right side up, or upside down.  The collection of these three outcomes is called the sample space of the experiment.

Some Examples  For example, the sample space when flipping a coin is Heads, Tails.  The sample space when drawing a colored cube from a bag that has 3 red, 2 blue, 1 yellow, and 4 green cubes is red, blue, yellow, green.

Problems  For each of the following chance experiments, list the sample space (i.e., all the possible outcomes).  Drawing a colored cube from a bag with 2 green, 1 red, 10 blue, and 3 black.

 Tossing an empty soup can to see how it lands.  Shooting a free-throw in a basketball game  Rolling a number cube with the numbers 1–6 on its faces.  Selecting a letter from the word: probability

You and your Partner(s)  The sample space for the paper cup toss was on its side, right side up, and upside down.  Do you think each of these outcomes has the same chance of occurring? If they do, then they are equally likely to occur.  The outcomes of an experiment are equally likely to occur when the probability of each outcome is equal.

You and Your Partner  You and your partner toss the paper cup 30 times and record in a table the results of each toss.  Using the results of your experiment, what is your estimate for the probability of a paper cup landing on its side?

 Using the results of your experiment, what is your estimate for the probability of a paper cup landing upside down?  Using the results of your experiment, what is your estimate for the probability of a paper cup landing right side up?

Cards and Bags  The numbers from 1–10 are written on note cards and placed in a bag. One card will be drawn from the bag at random.  List the sample space for this experiment.  Are the events selecting an even number and selecting an odd number equally likely? Explain your answer