"Feeling the Possibility" Probability Preliminary PPT Courseware

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"Feeling the Possibility" Probability Preliminary PPT Courseware

Part One: Learning Objectives

1. Through dice throwing activities, you can experience the randomness of data through the process of guessing, experimenting, collecting test data, and analyzing test results.

2. Understand the concept of random events, be able to distinguish inevitable events, impossible events and random events, and feel how likely random events are to occur.

Feel the possibility PPT, part 2 content: classic examples

[Example 1] (Adapted from Rizhao 2019) Among the following events, which are inevitable events? Which are impossible events? Which are random events?

(1) 13 classmates attend a party, and at least two of them have birthdays in the same month;

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

(3) The shooter shoots once and hits the bullseye;

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

[Example 2] As shown in the figure, the turntable is evenly divided into 8 areas. Each area is marked with numbers 1, 2, 3, 4, 5, 6, 7, 8. Rotate the turntable once at will. When the turntable stops rotating, for the following event:

①The pointer falls on the area marked 5;

②The pointer falls on the area marked 10;

③The pointer falls on the area marked with an odd number;

④The pointer falls in an area divisible by 3.

Among them, the most likely event is _________. (Fill in the serial number)

[Example 3] Fill in the blanks: There are 5 red balls, 3 blue balls and 2 white balls that are the same except for the color in an opaque box. They have been mixed evenly. The following three events are inevitable events. Random event or impossible event?

(1) Take any 4 balls from the box, all of them are blue balls; _______

(2) Take any 3 balls from the box, only blue balls and white balls, no red balls; _______

(3) Take any 9 balls from the box, and there happen to be balls in three colors: red, blue, and white.

Feel the possibility PPT, the third part: Variation practice

1. Among the following events, which ones are inevitable events? Which ones are impossible events? Which ones are random events?

(1) Drop oil into water and the oil will float on the water;

(2) Turn on the TV, select a channel, and an advertisement is playing on the screen;

(3) Usually heated to 100 ℃, water boils;

(4) Xiao Ming will take the Foshan High School Entrance Examination this year and will score 130 points in mathematics.

2.Draw 1 card at random from a deck of playing cards.

①This card is "A";

②This card is "Heart";

③This card is "King";

④This card is "red".

Arrange these events in order from least to most likely to occur as ______________. (Fill in the serial number and connect with "<")

3. In an opaque bag, there are 10 small balls of the same size and shape, including 5 red balls, 3 blue balls, and 2 black balls. After mixing them evenly, which of the following events are Necessary events? Which are impossible events? Which are random events?

(1) Take out a ball at random from the pocket, it happens to be a black ball;

(2) Take out 3 balls at a time from the pocket, and they all happen to be blue balls;

(3) Take out 9 balls at a time from the pocket, which happen to be in three colors: red, blue, and black;

(4) Take out 6 balls at a time from the pocket, they happen to be 1 red ball, 2 blue balls, and 3 black balls.

Solution: inevitable event: (3); impossible event: (4); random event: (1) (2).

Feel the possibility PPT, Part 4: Consolidate training

4. (2019 Guangxi) Which of the following events is inevitable? ()

A. Turn on the TV and the news is playing

B. Draw a triangle arbitrarily, the sum of its interior angles is 180°

C. Buy a movie ticket, the seat number is an odd number

D. Toss a coin of uniform texture, heads up

5. The event "Toss a coin with uniform texture and land tails up" is ()

A. Random event B. Necessary event

C. Impossible event D. Unable to judge

6. Which of the following statements is wrong ()

A. "The sum of two negative numbers is a negative number" is an inevitable event

B. "Water does not freeze at -10 ℃" is an impossible event

C. "Giving a child, it's a girl" is a random event

D. "Tossing a coin 10,000 times and getting it all heads" is an impossible event

7. (2019 Wuhan) There are only 4 black balls and 2 white balls in the opaque bag. These balls have no other difference except color. Three balls are randomly picked out from the bag at once. Which of the following events is impossible? ()

A. All three balls are black balls B. All three balls are white balls

C. There is a black ball among the 3 balls. D. There is a white ball among the 3 balls.

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Update Time: 2024-10-19

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