Name _________________________

11.4 Theoretical and Experimental Probability

  1. Define experimental probability.

  1. How is experimental probability different from theoretical probability?

Complete the table below, converting between probability values.

Problem

Fraction

Decimal

Percent

3.

98%

4.

0.015

5.

6.

7.

62%

8.

0.73

Use a spinner with five spaces to answer the following questions.

9. What is the sample space?

  1. Find the theoretical probability, (spinning four).

  1. Sam conducted an experiment by spinning the spinner 15 times and recording each number the spinner lands on. His results were:

space 1: 3 times

space 2: 2 times

space 3: 4 times

space 4: 4 times

space 5: 2 times

Using these results, what is the experimental probability  (spinning four)?

  1. Give an event with a 0% probability.

In 13 – 24, use a standard 52-card deck to answer the questions.

  1.  How many values are in the sample space? What could be an easy way to list all these values?

  1. Determine (King).

  1. What are the odds against drawing a face card?

  1. What are the odds in favor of drawing a six?

  1. Determine (Diamond).

  1. Determine (Nine of Clubs).

  1. Determine (King or eight of Hearts).

  1. What are the odds against drawing a spade?

  1. What are the odds against drawing a red card?

  1. Give an event with 100% probability.

  1. Jorge says there is a 60% chance of rain tomorrow. Is this a strong likelihood? Explain your reasoning.

  1. What is the probability there will be a hurricane in your area tomorrow? Why did you choose this percentage?

Consider flipping two coins at the same time.

  1.  Write the sample space.

  1. What is the probability of flipping one head and one tail?

  1. What is (both heads)?

  1. Give an event with 100% probability.

  1. Conduct the experiment 20 times. Find the experimental probability for flipping both heads. Is this different from the theoretical probability?