"Using Frequency to Estimate Probability" Preliminary Probability PPT Download (Lesson 1)

Description

"Using Frequency to Estimate Probability" Preliminary Probability PPT Download (Lesson 1)

Part One: Learning Objectives

1. Know that through a large number of repeated experiments, frequencies can be used to estimate probabilities.

2. Experience the coin tossing experiment, collect, organize, describe and analyze data, and experience the randomness and regularity of frequency. Understand the rationality and necessity of using frequency to estimate probability, and cultivate the concept of randomness.

Using frequency to estimate probability PPT, part 2: cooperative exploration

Divide the class into 10 groups. Each group tosses a coin 50 times. Organize the experimental data obtained by the students and record it in the table below.

What is the trend in the frequency of “heads” as the number of tosses increases?

As the number of tosses increases, the frequency of "heads up" swings around the number 0.5. Generally, as the number of throws increases, the frequency shows a certain stability: the amplitude of the swing near 0.5 will become smaller and smaller. At this time, we say that the frequency of "heads up" is stable at 0.5. It is the same value as the probability of "heads" obtained by the enumeration method.

As the number of tosses increases, what is the pattern of the frequency of "heads up" swinging around 0.5?

If as the number of throws increases, the change in the frequency of "head-up" does not completely become smaller and smaller around 0.5, this experiment still cannot be called a large number of repeated experiments in the strict sense.

What conclusions can you draw from the above experiments?

For general random events, when a large number of repeated tests are performed, as the number of tests increases, the frequency of an event always swings around a fixed number, showing a certain stability. Therefore, we can use the frequency of a random event to estimate its probability through a large number of repeated experiments.

What are the differences and connections between frequency and probability?

The frequency changes with the number of trials. Probability is a constant, which is the scientific abstraction of frequency. As the number of trials increases, the average amplitude of the frequency swing around the probability becomes smaller and smaller, that is, the frequency approaches the probability.

Using frequency to estimate probability PPT, part three: analysis of examples

For example, the results of a basketball player’s free throw shooting in recent competitions are as follows:

(1) Calculate the frequency of goals in each game in the table;

(2) What is the probability of scoring a goal if this athlete takes a shot?

Using frequency to estimate probability PPT, part 4: practice and consolidation

1. The following statement is correct ( ).

A. "The probability of rain tomorrow is 80%" means it will rain 80% of the time tomorrow

B. "The probability of a coin coming up heads when tossing a coin is " means that it will come up heads once every two tosses.

C． "The probability of winning the lottery is 1%" means that if you buy 100 lottery tickets, you will definitely win.

D． "Tossing a cube die with uniform texture, the probability that the number of upward points is 2 is ____" means that as the number of throws increases, the frequency of the event "throwing a number of upward points is 2" stabilizes at ____ _nearby

2. Among the boys in a certain school, if a number of students are randomly selected to do a questionnaire survey on "Do they like football?", the frequency of selecting students who like football is 3/5. The meaning of 3/5 is ( ).

A. Only 5 questionnaires were sent out, three of which were about people who like football.

B. In the answer sheet, the ratio of those who like football to the total questionnaire is 3.8

C． Among the answer sheets, those who like football accounted for 10% of the total.

D． In the answer sheet, for every 100 questionnaires taken out, exactly 60 responded that they like football.

Using frequency to estimate probability PPT, Part 5: Class summary

1. For general random events, when a large number of repeated tests are performed, as the number of tests increases, the frequency of an event always swings around a fixed number, showing a certain stability. Therefore, we can use the frequency of a random event to estimate its probability through a large number of repeated experiments.

2. What are the differences and connections between frequency and probability?

The frequency changes with the number of trials. Probability is a constant, which is the scientific abstraction of frequency. As the number of trials increases, the average amplitude of the frequency swing around the probability becomes smaller and smaller, that is, the frequency approaches the probability.

Keywords: Free download of PPT courseware for mathematics in the first volume of the ninth grade of People's Education Edition, PPT download of estimating probability using frequency, preliminary PPT download of probability, .PPT format;

For more information about the "Using Frequency to Estimate Probability Preliminary" PPT courseware, please click the Estimating Probability Using Frequency PPT Probability Preliminary PPT tab.

"Using Frequency to Estimate Probability" PPT teaching courseware for further understanding of probability:

"Using Frequency to Estimate Probability" PPT teaching courseware for further understanding of probability, 13 pages in total. Basics of knowledge points Knowledge point 1 The relationship between frequency and probability 1. Regarding the relationship between frequency and probability, the correct statement below is (B) A. Frequency is equal to probability B. When the number of trials is very...

"Using Frequency to Estimate Probability" PPT download for further understanding of probability:

"Using Frequency to Estimate Probability" PPT download for further understanding of probability, 16 pages in total. Learning objectives 1. Know that through a large number of repeated experiments, frequency can be used to estimate probability; (key point) 2. Understand the feasibility of alternative simulation experiments. ... ... ... Teach a new lesson using frequency..

"Using Frequency to Estimate Probability" PPT for further understanding of probability:

"Using Frequency to Estimate Probability" PPT for further understanding of probability, 24 pages in total. Learning objectives: Use frequency to estimate the probability of equally possible events. Use frequency to estimate the probability of non-equally possible events. ... ... Understand new knowledge. Knowledge points: Use frequency to estimate, etc.

File Info

Update Time: 2024-11-01

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 1 industry PPT template

Preview