"Random Events" Probability Preliminary PPT Courseware Download

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"Random Events" Probability Preliminary PPT Courseware Download

The content of the first part: 1 mathematician > 10 teachers

In World War II, the United States once announced that the role of an outstanding mathematician was more than the strength of 10 divisions. This sentence has an unusual origin.

Before 1943, the British and American transport fleets in the Atlantic were often attacked by German submarines. At that time, the United Kingdom and the United States were limited by their strength and were unable to send more escort ships. For a time, the German "submarine warfare" caused the Allies to be in dire straits.

For this reason, a U.S. Navy general specifically consulted a mathematician. The mathematicians used probability theory to analyze and concluded that the encounter between the fleet and the enemy submarine was a random event. From a mathematical point of view, this problem has certain consequences. Regularity.

A certain number of ships (100 ships), the smaller the fleet size

The more numbers there are (for 20 ships each time, there are 5 numbers)

The more numbers you have, the greater the probability of encountering the enemy.

The U.S. Navy accepted the mathematician's suggestion and

Order the fleet to assemble in the designated sea area, and then collectively pass through the dangerous sea area,

Then they sail to the scheduled port.

As a result, a miracle occurred: the probability of the Allied fleet being attacked and sunk was reduced from 25% to 1%, greatly reducing losses and ensuring the timely supply of supplies.

Random events PPT, the second part of the content: Unexpected events occur in the sky

Have you heard the saying, "Unpredictable things happen in the sky", classmates!

Its original meaning is windy, rainy, cloudy, sunny

These weather conditions are difficult to predict

Later it was extended to:

Many things in the world are accidental.

People cannot tell in advance whether these things will happen.

Which of the following phenomena are inevitable and which are impossible?

① Firewood burns and generates heat

②Tomorrow, the earth will still rotate

③The cooked duck flew away

④Below 0°C, this snow melts

⑤As long as you work hard, an iron pestle can be ground into a needle

⑥The high jumper will eventually fall to the ground

⑦ Destroying seedlings and encouraging growth

⑧Sit back and wait.

Random events PPT, the third part: problem exploration

Question 1

Let’s look at two more questions

5 students participated in the speech contest, and the order of each person's appearance was determined by drawing lots. There are 5 paper sticks of the same shape and size in the tube, with the appearance numbers 1, 2, 3, 4, and 5 respectively marked on them. Xiaojun first draws lots. He randomly takes a piece of paper from the tube without seeing the number on the paper.

(1) How many possible results are there for the drawn serial number?

(2) Is the serial number drawn less than 6?

(3) Will the drawn serial number be 0?

(4) Will the drawn serial number be 1?

Question 2

Xiaowei throws a square dice with uniform texture. The six sides of the dice are engraved with numbers from 1 to 6 respectively. Consider the following question. Roll a die and look at the upward side:

(1) What points may appear?

(2) Will the number that appears be 7?

(3) Are the points that appear greater than 0?

(4) Will the number of points that appears be 4?

Random events PPT, part 4: definition

Events that must occur under certain conditions are called inevitable events

For example, in question 1 "the number drawn is less than 6"

In question 2, "The number of points that appears is greater than 0"

An event that will definitely not happen under certain conditions is called an impossible event

For example, in question 1 "the number drawn is 0"

In question 2, "The number of points that appears is 7"

Necessary events and impossible events are collectively called certain events

Random events PPT, part 5: practice

Point out which of the following events are inevitable, which are impossible, and which are random?

(1) Usually when heated to 100°C, water boils

(2) A basketball player shot once from the free throw line and missed.

(3) Throw the dice once and the number on the up side is 6

(4) Draw a triangle arbitrarily, the sum of its interior angles is 360°

(5) Passing through an intersection with traffic lights and encountering a red light

(6) The shooter shoots once and hits the bullseye

Determine which of the following events are inevitable, which are impossible, and which are random:

① A basketball thrown upward from the ground will fall;

②The cork sinks to the bottom of the water;

③Buy a lottery ticket and win the jackpot;

④ Toss a coin, and when it lands, the side with the national emblem will face up;

Random events PPT, part six: summary

What did we learn in this lesson?

Events that must occur under certain conditions are called inevitable events

An event that will definitely not happen under certain conditions is called an impossible event

Necessary events and impossible events are collectively called certain events

Events that may or may not occur under certain conditions are called random events

1. There is a certain probability of random events happening

2. The probability of different random events occurring may be different

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

For more information about the "Probability Preliminary Random Events" PPT courseware, please click the Probability Preliminary PPT Random Events PPT tab.

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Update Time: 2024-10-16

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