"Stability of Frequency" Frequency and Probability PPT Courseware 4

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"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.

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?

Insights come from practice

When the number of experiments is small, the amplitude of the up and down swing of the polyline on the "0.5 horizontal straight line" is larger. As the number of experiments increases, the amplitude of the up and down swing of the polyline on the "0.5 horizontal straight line" will gradually become smaller.

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.

Smart version

1. 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

2. There are 9 balls in the pocket, including 4 red balls, 3 blue balls and 2 white balls. Among the following events, the probability of happening is 1 ( )

A. Take a ball from the pocket and it is exactly the red ball

B. Take out 2 balls from your pocket, both are white balls

C. Take out at least one of the 6 balls that is a red ball

D. The balls taken out of the pocket are exactly 3 red and 2 white.

Experts look at the "doorway"

Roll an even die.

(1) What are the possible outcomes?

(2) Are the chances of rolling a 1 and rolling a 2 the same?

Is a roll of 1 as likely as a roll of 3?

(3) Is each occurrence equally likely? How did you do it?

Endless aftertaste

1. Frequency stability.

2. The probability of event A is denoted as P(A).

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

4. The probability of a certain 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.

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For more information about the PPT courseware "Frequency and Probability Stability of Frequency", please click the Frequency and Probability ppt Stability of Frequency ppt tag.

"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...

"Stability of Frequency" Frequency and Probability PPT courseware:

"Stability of Frequency" Frequency and Probability PPT Courseware Frequency: In n repeated tests, uncertain event A occurs m times, then the ratio m/n is called the frequency of the event. The introduction of the problem: Toss a uniform coin. After the coin falls, two situations will occur: ..

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Update Time: 2024-11-19

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