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Authoritative PPT Summary
"Probability" Preliminary Probability PPT (Lesson 1)
Part One: Learning Objectives
1. Understand the meaning of probability and penetrate the concept of randomness.
2. Able to calculate the probability of some simple random events.
Probability PPT, Part 2: Collaborative exploration and formation of new knowledge
Question 1: Randomly draw one of the five lots marked 1, 2, 3, 4, and 5. The number drawn is 5. Is this event a random event? Are the chances of drawing any of the 5 numbers the same?
This event is a random event, and the probability of drawing any one of the 5 numbers is the same.
Question 2 How many possible results are there? What percentage of the total does each type account for?
There are five possibilities among these five lots, namely 1, 2, 3, 4, and 5. Because the numbers look exactly the same and are drawn randomly, each number has an equal chance of being drawn. We use . to represent the probability of each number being drawn.
Question 3 If you throw a uniform die, how many possible numbers are there on the upward side? What are the differences? Are the odds that the upward points are 1, 2, 3, 4, 5, and 6 equally likely? What fraction of the total are they?
Throw a dice with a uniform texture. There are 6 possible numbers on the upward side, namely 1, 2, 3, 4, 5, 6. Because the dice are regular in shape, uniform in texture, and thrown randomly, the probability of each point appearing is equal. We use . to represent the probability of each point occurring.
What do questions 1 to 4 have in common?
Similarity:
(1) In each experiment, there are only a limited number of possible results;
(2) In each experiment, various results are equally likely to occur.
Probability PPT, the third part: analysis of example questions, deepening and improving
Example: Throw a dice with uniform texture, observe the points on the upward side, and find the probability of the following events:
(1) The number of points is 2;
(2) The number of points is an odd number;
(3) The number of points is greater than 2 and less than 5.
Solution: When rolling a dice with a uniform texture, the number on the upward side may be 1, 2, 3, 4, 5, 6, a total of 6 types. These points are equally likely to appear.
(1) There is 1 possibility for the number of points to be 2, so P(the number of points is 2)=1/6.
Probability PPT, part 4: practice consolidation, comprehensive application
1. There are 5 identical small balls in an opaque bag. They are numbered 1, 2, 3, 4, and 5 respectively. A small ball is randomly picked out from it. The probability that its number is greater than 2 is ().
2. The "elite group" of Class 7 (2) of Fenghua Middle School has 4 boys and 3 girls. If one person is elected as the team leader, the probability that the team leader is a boy is ________.
3． Since the launch of the "six chaos" campaign, students in our city have become more conscious of abiding by traffic rules. Xiao Ming, a student from a certain school, has to pass through an intersection every day when he rides his bicycle to school. The intersection has red, yellow, and green traffic lights. The probability of him encountering a red light at the intersection is 1/3, and the probability of encountering a yellow light is 1/3. is 1/9, then the probability of him encountering a green light is ( )
Probability PPT, Part 5: Class Summary
1. Definition of probability:
Generally speaking, for a random event A, we call the numerical value that describes the possibility of its occurrence the probability of the occurrence of the random event A. Representation method: The probability of event A is expressed as P(A).
2. Probability method:
Generally speaking, if there are n possible outcomes in an experiment, and they are all equally likely to occur. Event A contains m outcomes, then the probability of event A occurring is. Where 0≤P(A)≤1,
When A is a necessary event, P(A)=1; when A is an impossible event, P(A)=0.
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