"Simple Probability Calculation" PPT courseware

Description

"Simple Probability Calculation" PPT courseware

learning target:

1. Further understand the meaning of probability in specific scenarios and understand that probability is a mathematical model that describes uncertain phenomena.

2. Understand the calculation method of the probability of a type of event and be able to perform simple calculations.

Important points to learn:

1. Further understand that probability is a mathematical model that describes uncertain phenomena.

2. Understand the calculation method of the probability of another type of event (geometric probability), and be able to perform simple calculations

Review the past and learn the new

What are the probabilities and expressions of three events?

①The probability of an inevitable event occurring is 1 and is recorded as P (inevitable event) = 1;

②The probability of an impossible event occurring is 0, recorded as P (impossible event) = 0;

③If A is a random event, then 0＜P(A)＜1

Communication and discovery:

(1) Tossing a coin, what are the outcomes? How likely is each outcome? How to calculate it? What is the probability of each outcome?

(2) There are 6 red and white ping pong balls of the same texture and size in an opaque bag, 4 white balls and 2 red balls. If you touch any ball from them, there will be several different results. ? What are the results of drawing a red ball? What is the probability of getting a red ball? How to calculate it?

Generally speaking, in an experiment, if there are a limited number of possible outcomes, and each outcome is equally likely to occur, m represents the number of outcomes contained in a specified event E, and n represents the total number of all outcomes that may occur in the experiment. , then the probability of event E occurring can be calculated by the following formula:

Example 1: Write the letters in the English word "PROBABILITY" at a time on 11 cards of the same size. Only 1 letter can be written on each card. Then shuffle the cards and randomly select 1 card from them. What is the probability that it is the card with the letter I written on it?

Example 2: Throwing Yimei dice (a small uniform cube with 1, 2, 3, 4, 5, and 6 points engraved on 6 sides respectively). After settling,

(1) What is the event of "no more than 6" on the upward side of the die? What is its probability? What is the event of "points greater than 6"? What is its probability?

(2) What is the event that "the point on the upward side of the die is a prime number"? What is its probability?

Example 3: In order to attract customers, a fast food restaurant launched a "turntable" game: a circular turntable was divided into 12 sectors with equal central angles, of which 2 sectors were painted red and 4 sectors were painted green. Paint the rest yellow. After customers spend over 200 yuan, they can spin the wheel freely once. If after the carousel stops, the pointer lands in the green area to win the second prize, and if it lands in the red area or the first prize, customers with the lottery coupon can enjoy 10% off and 20% off respectively when they come to the restaurant to dine next time.

(1) What are the winning rates for the first and second prizes in this game?

(2) What is the winning rate of this game?

Have you ever played the game of rock, paper, scissors?

Xiaoliang and Xiaoying play this game. The rules of the game are:

"Scissors" beats "paper"

"Cloth" is better than "stone"

"Rock" beats "scissors"

(1) If both of them make a random gesture, what is the probability that Xiao Liang will win the first time he "shoots"? What is the probability of Xiaoying winning?

(2) After two people take action at the same time, what is the probability of a draw?

(3) Assume that after n attempts, both players are tied, and the winner is not decided until the n+1th attempt. Then, what are the probabilities of A and B winning at the n+1th attempt? ?

Summarize, reflect and incorporate into the system

Through today’s study, have you gained some new understanding of the simple calculation of probability? Can you share your thoughts?

Assign homework and broaden horizons

1. Complete after-class exercises 1 and 2 and question 1 of Exercise 13.4. Interested students will collect after class whether there are any examples related to probability in familiar environments.

2. Experience your successful experience in this class, keep a good math diary, and communicate with classmates.

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"Simple Probability Calculation" PPT Courseware 2:

"Simple Probability Calculation" PPT Courseware 2 Review Review: 1. Generally, in an experiment, if there are a limited number of possible outcomes, and the probability of each outcome is equal, use m to represent a specified event E including The number of results, n means that the experiment can...

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Update Time: 2024-06-29

This template belongs to Mathematics courseware Qingdao Edition Ninth Grade Mathematics Volume 2 industry PPT template

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