13.1 Experimental and Theoretical Probability

1. 13.1 Experimental and Theoretical Probability

2. 1 Certain .5 50/50 0 Impossible I. What do you know about probability? A. Probability is a number from 0 to 1 that tells you how likely something is to happen. It is the ratio of desired outcomes to total outcomes.

3. B. Probability can be expressed as a fraction, a decimal, or a percentage.C. Probability can have two approaches:1. experimental probability2. theoretical probability

4. II. Key WordsA. Experimental probability is found by repeating an experiment and observing the outcomes.B. Theoretical probability can be found without doing an experiment.

5. C. Sample space is the set of all possible outcomes.D. Outcome is the possible result of a situation or experiment.

6. E. Event may be a single outcome or a group of outcomes.F. Random outcomes occur at random if each outcome occurs by chance.

7. G. Complement of an event consists of all of the possible outcomes in the same sample space that are not part of the event.***P(event) + P(not event) = 1 ***P(not event) = 1 – P(event)

8. III. Experimental vs. TheoreticalA. Experimental probability:B. Theoretical probability:

9. IV. Examples A. You are rolling a standard six-sided die. What are your chances of landing on an even number?

10. HEADS TAILS B. A class group flipped a coin and recorded their results below. What is their probability of landing on heads?

11. C. A class of 32 students has 18 boys and 14 girls. If one student is chosen to take attendance for the semester, what is the probability that a boy is chosen?

12. D. If you have 12 coins (5 pennies, 4 nickels, 2 dimes, and 1 quarter) in a bag, find the theoretical probability of selecting: 1. one quarter in one draw 2. one penny in one draw 3. one dime in one draw 4. one nickel in one draw

13. E. Lavon had a bag of candies. There were 20 candies in the bag: 6 red, 5 orange, 3 brown, 2 yellow, and 4 blue. Without looking, she chose a candy, recorded the color, and returned the candy to the bag. She performed this experiment 100 times and found that she chose an orange candy 22 times. What was the experimental probability of choosing an orange candy?

14. F. A spinner is divided into six equal sections. Three sections are green and three sections are blue. P(green) is ½. Identify the probability (experimental or theoretical).

15. G. In a survey, 50 people were asked to pick which movie they would see this weekend. Ten people chose Spiderman. What is the experimental probability of someone wanting to see Spiderman?

16. H. A number cube is tossed 20 times and lands on 1 two times and on 5 four times. Find the experimental probability of not landing on 1.

17. I. What is the probability of rolling numbers that add to (a) 9 and (b) 13 when rolling two standard number cubes? (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

18. J. On the local news the weather reporter stated that the probability of rain tomorrow is 40%. What is the probability that it will not rain?

19. Homework: 13.1 Worksheet