"Finding Probability Using Enumeration Method" Probability Preliminary PPT (Lesson 2)

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"Finding Probability Using Enumeration Method" Probability Preliminary PPT (Lesson 2)

The first part: the famous teacher’s eye-catching

Knowledge points: Calculating probability using tree diagram method

Applicable conditions: When an experiment involves two or more factors, the tree diagram method can be used to calculate the probability.

Note: (1) When an event needs to be completed in two steps, either the tree diagram method or the list method can be used. (2) When an event needs to go through multiple steps (three or more steps) to complete, it is very effective to use the tree diagram method to calculate the probability.

[Typical example] In physical education class, Xiao Ming, Xiao Qiang, and Xiao Hua are practicing playing football. When the football is passed from one person to another, it is counted as a kick.

(1) If Xiaoqiang starts kicking, what is the probability that the football will hit Xiaohua after two kicks? (Represented by tree diagram)

(2) If after three kicks, the ball is least likely to hit Xiao Ming, who should kick it first? Please explain the reason.

Use enumeration method to find probability PPT, part 2: basic pass

1. [Shandong Linyi High School Entrance Examination] A car passing through a certain intersection may go straight, or turn left or right. If these three possibilities are equal, then when two cars pass through this intersection, one will turn right. The probability of a car turning left is ()

A． 2/3 B． 2/9

C． 1/3 D. 1/9

2. [Guangdong Guangzhou High School Entrance Examination] Bag A contains 2 identical small balls, with the numbers 1 and 2 written on them respectively; Bag B contains 2 identical small balls, with the numbers 1 and 2 written on them respectively. From the two pockets Each ball is randomly taken out. The probability that both the two balls taken out have the number 2 written on them is ()

A． 1/2 B. 1/3

C． 1/4 D. 1/6

3. A three-digit number in which the number in the tens place is larger than the number in the ones place and the number in the hundreds place is called a mid-high number. For example, 796 is a mid-high number. If the number in the tens place is 7, then the probability of choosing any two numbers from 3, 4, 5, 6, 8, 9 and 7 to form a medium or high number is ()

A． 1/2 B. 2/3

C． 2/5 D. 3/5

Use enumeration method to find probability PPT, the third part: ability improvement

9. Xiaoyan's family of three participated in a lottery in a shopping mall. Each person had only one chance to draw: an opaque box contained one red, yellow, and white ball. These balls had no other difference except color. They were randomly selected from the box. Take out a ball and put it back into the box. It is the next person's turn to touch the ball. The probability that the color of the ball is different for the three people is ()

A． 1/27 B． 1/3

C． 1/9 D． 2/9

10． [Shaanxi High School Entrance Examination] There are currently two opaque bags A and B, each containing 3 identical balls except for color. Bag A contains 2 white balls and 1 red ball; bag B contains 2 red balls and 1 white ball.

(1) Shake bag A well, then randomly take out a small ball from bag A, and find the probability that the ball is white;

(2) Xiaohua and Xiaolin agreed on a game rule: randomly draw a small ball from the shaken bags A and B. If the two small balls drawn out have the same color, Xiaolin wins; if the color If they are different, Xiaohua wins. Please use a tree diagram to explain whether the rules of this game are fair to both parties.

11． As shown in the figure, there are two turntables A and B with identical structures, both divided into two areas A and B. The central angle of area A in turntable A is 120°, and the central angle of area A in turntable B is 90°. They can rotate freely. The turntable will rotate again if the pointer points to the area dividing line.

(1) Rotate the turntable A once and find the probability that the pointer points to area A;

(2) Freely rotate the two turntables once each. Please use the tree diagram method to find the probability that the two turntables point to area B at the same time.

Use enumeration method to find probability PPT, part 4: thinking training

12. [Guangdong High School Entrance Examination] In order to understand the 1,000-meter running results of all ninth-grade boys in a certain school, some boys were randomly selected for testing, and the test results were divided into four grades: A, B, C, and D. The following incomplete statistical chart was drawn , as shown in the chart.

Use the chart information to answer the following questions:

(1)x=______, y=________, the degree of the central angle of C represented in the fan chart is ________ degrees;

(2) A, B, and C are three students in grade A. The school decides to randomly select two students from these three students to introduce their physical exercise experience. Use the list method or draw a tree diagram to find A and C at the same time. The probability that B has two students.

Keywords: Free download of PPT courseware for mathematics in the first volume of the ninth grade of the People's Education Press, download of PPT for finding probability using enumeration method, download of preliminary PPT of probability, .PPT format;

For more information about the PPT courseware "Probability Preliminary Use Enumeration Method to Calculate Probability", please click on the Probability Preliminary PPT Use Enumeration Method to Calculate Probability PPT tag.

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Update Time: 2024-10-03

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