"Stability of Frequency" Frequency and Probability PPT Courseware

Description

"Stability of Frequency" Frequency and Probability PPT Courseware

Frequency: In n repeated tests, if uncertain event A occurs m times, the ratio m/n is called the frequency of event occurrence.

The introduction of the problem

Toss a fair coin and after the coin falls, two things will happen:

Face up Face down

Do you think heads up and heads down are equally likely?

learn new knowledge

1. When the number of experiments is large, the frequency of events will swing around a constant. This property is called frequency stability.

2. We call this numerical value that describes the possibility of event A happening the probability of event A happening, denoted as P(A).

Generally, in a large number of repeated experiments, we often use the frequency of uncertain event A to estimate the probability of event A.

think about it

What is the value range of the probability P(A) of event A? What is the probability that an inevitable event will occur? What is the probability of an impossible event happening?

The probability of an inevitable event happening is 1; the probability of an impossible event happening is 0; the probability P(A) of an uncertain event A happening is a constant between 0 and 1.

Consolidation exercises

1. A shooter shot under the same conditions. The results are as follows:

(1) Complete the above table;

(2) Based on the above table, draw a line statistical chart of the frequency of the athlete hitting the bullseye;

(3) Observe the drawn line statistical chart. What is the pattern of changes in the frequency of hitting the bullseye?

2. Conduct random inspections on the quality of a certain batch of table tennis balls, as shown in the following table:

(1) Complete the above table;

(2) According to the above table, if you pick any one of these table tennis balls, what is the probability that it is a superior product?

3. Which of the following events has a probability of 0 ()

A. Roll two dice, and the number "6" appears upward at the same time.

B. It took Xiao Ming 10 minutes to get from home to school, but 15 minutes to get back home from school.

C. Today is Sunday, yesterday must be Saturday

D. Xiao Ming’s walking speed is 40 kilometers per hour

Dreams and reality

1. Some students have a 99% chance of studying hard, but they choose a 1% chance of not making progress because they don’t know how to cherish their youth;

2. Some students have a 99% chance of being generous and tolerant, but they choose a 1% chance of falling out because they don’t understand the true meaning of tolerance.

3. Some students have a 99% chance of helping others, but choose a 1% chance of being insensitive because they have not yet understood the true meaning of life.

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"Stability of Frequency" Frequency and Probability PPT Courseware 4:

"Stability of Frequency" Frequency and Probability PPT Courseware 4 Review and Thoughts 1. Give an example of what an inevitable event is. 2. Give an example of what an impossible event is. 3. Give an example of what an uncertain event is. Introduction to the problem Toss a uniform coin. The coin...

"Stability of Frequency" Frequency and Probability PPT Courseware 3:

"Stability of Frequency" Frequency and Probability PPT Courseware 3 Learning Objectives 1. Understand the probability of inevitable and impossible events, and realize that the value of probability is between 0 and 1. 2. Experience the process of guessing experiments, collecting test data and analyzing test results, and experience uncertainty..

"Stability of Frequency" Frequency and Probability PPT Courseware 2:

"Stability of Frequency" Frequency and Probability PPT Courseware 2 Learning Objectives 1. Experience the process of experiments, statistics and other activities, and further develop the awareness and ability of cooperation and communication in the activities; 2. Understand that when the number of experiments is large, the test frequency is stable compared to the theory Probability, and based on this...

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Update Time: 2024-09-12

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