"Probability" Probability preliminary PPT courseware 2

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"Probability" Probability preliminary PPT courseware 2

Review: Which of the following events are random events? What events are inevitable? What are impossible events?

⑴The thrown shot put will fall

(2) An athlete’s time in the 100-meter race is 2 seconds

(3) For movie tickets purchased, the seat numbers are odd numbers

(4) x2 +1 is a positive number

(5) When tossing a coin, the national emblem faces up

(6) The straight line y=k(x+1) passes through the fixed point (-1,0)

induction

Generally, for a random event A, the numerical value that describes the likelihood of its occurrence is called the probability of the occurrence of the random event A. denoted as P(A)

Common features: 1. In each experiment, there are only a limited number of possible results. 2. In each trial, all outcomes are equally likely to occur.

Experiments with these characteristics are called classical probability. The events that occur in these experiments are equally likely events.

Class summary:

1. The definition and basic properties of probability.

If there are n possible outcomes in an experiment, and they are all equally likely to occur, and event A contains m of the outcomes, then the probability of event A occurring is P(A)=m/n.

0≤m≤n, there is 0 ≤ m/n≤1

2. Necessary event A, then P(A)=1;

If event B is impossible, then P(B)=0;

Random event C, then 0＜P(C)＜1.

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Update Time: 2024-07-01

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