Sample space, events, outcomes, and experiments

Lesson: Sample space, events, outcomes, and experiments

1. Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

2. Sample Space, Events, Outcomes, and Experiments

3. Definition Experiment - a process that has a number of distinct possible outcomes in which the result cannot be predicted with certainty Outcome - any possible result of the experiment Sample Space - the set of all possible outcomes of an experiment

4. Let’s Try List the elements or the results when you perform the following activities. Tossing a COIN

5. Let’s Try List the elements or the results when you perform the following activities. 2. Rolling a die

6. Let’s Try List the elements or the results when you perform the following activities. 3. Ask the birth month of persons you met in the school campus

7. Examples List all the possible outcomes for the experiment of tossing two coins (a 5-peso coin and a 10-peso coin)

8. Examples List all the sample space when a pair of dice are tossed

9. Seatwork List all the possible outcomes for the experiment of tossing three coins (a 1-peso, 5-peso and 10-peso coin) List the sample space and give the total number of possible outcomes for drawing a ball at random from a box containing 3 identical red balls and 4 identical green balls List the sample space for a three-digit number formed from the digits 1, 9, 5, and 3 with no digit to be used more than once

10. Suppose that you have to choose on what Outfit to wear, How many options do you have?

11. Fundamental Counting Principles If one thing can occur in m ways and a second thing can occur in n ways, and a third thing can occur in p ways, and so on, then the sequence of things can occur in m x n x p … ways

12. Examples Double O’s cafe serves three desserts: a cake, a salad, and a pie. They also serves four beverages: cola, coffee, tea and juice. Suppose you choose one dessert and one beverage. How many possible outcomes are there?

13. Examples Rene Alarcon is a disc jockey. He chooses different types of records for each hour of his three hour program. The possible choices are listed below. How many possible outcomes are there? First Hour: Rock , Folk Second Hour: Instrumental, Jazz, Pop Third Hour: Opera, Classical, Rap, Techno

14. Examples A plate number is made up of three letters from the English alphabet followed by a three-digit number. How many plate numbers are possible to form if: The letters and digits can be repeated in the same plate number The letters and digits cannot be repeated in the same plate number

15. Examples In tossing two dice, what is the probability of the event? A sum of “7” A sum of “5”

16. Examples A committee of two is to be chosen at random from a group of 5 students consisting of 3 boys and 2 girls. What is the probability that a committee Of two boys will be chosen? Of two girls will be chosen? Consisting of 1 boy and 1 girl will be chosen?