"Probability of Equally Possible Events" Probability Preliminary PPT Courseware (Lesson 1)

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"Probability of Equally Possible Events" Probability Preliminary PPT Courseware (Lesson 1)

Part One: Learning Objectives

Through the ball-touching game, you can learn how to calculate the probability of other possible events and understand the meaning of probability. (Key points)

Flexibly apply probability calculation methods to solve various types of practical problems. (Difficulty)

Probability of other possible events PPT, part 2: introduction of new lesson

Game rules: There are 6 small balls of the same shape and size in the three bags. Three groups are selected to perform ball-touching activities. Each group sends a student to touch the ball three times. One ball is touched at a time. The ball is first shown to the whole class and then put back. If you find a yellow ball, you get one point. If you find a white ball, you get no points. The team with the highest total score wins.

In the game just now

The yellow ball found in bag No. 1 belongs to

The yellow ball found in bag No. 2 belongs to

The yellow ball found in bag No. 3 belongs to

Probability of equally possible events PPT, part 3: cooperative exploration

Activity 1:

There are 5 balls in a bag, marked with the numbers 1, 2, 3, 4, and 5. These balls are all the same except for the number. After mixing evenly, any ball will be taken out.

(1) What are the possible outcomes?

Five possible outcomes will occur:

They touch the No. 1 ball, the No. 2 ball, the No. 3 ball, the No. 4 ball, and the No. 5 ball respectively.

(2) Is each outcome equally likely? Guess what their probabilities are?

Each outcome is equally likely. Since there are 5 equally possible outcomes, the probability of them all happening is 1/5.

Activity 2: Toss a coin and after it lands:

(1) How many possible outcomes will occur?

(2) Are the chances of heads and tails equal?

(3) Try to guess: How likely is it to land heads?

What common characteristics do the above activities have?

Have two common characteristics:

(1) In each activity, there are only a limited number of possible outcomes;

(2) In each activity, various outcomes are equally likely to occur.

The events that occur in these activities are equally likely events.

For experiments with the above characteristics, we can express the probability of an event occurring by using the ratio of the number of possible outcomes contained in the event to the total number of possible outcomes.

Probability of equally possible events PPT, Part 4: Example explanation

Example: Roll a dice of uniform texture at random

(1) What is the probability that the number rolled is greater than 4?

(2) What is the probability that the number thrown is an even number?

Solution: Randomly throw a dice with uniform texture. There are 6 possible outcomes: the numbers thrown are 1, 2, 3, 4, 5, and 6. Because the dice is uniform in texture, each result appears. Equally likely.

(1) There are only two results when the number of points thrown is greater than 4: the points thrown are 5 and 6 respectively.

So P (the number rolled is greater than 4) =

(2) There are three results when the number thrown is an even number: the numbers thrown are 2, 4, and 6 respectively.

So P (the number thrown is an even number) =

Method summary: The key to finding probability is to find two points: ① the total number of all situations; ② the number of situations that meet the conditions. The ratio of the two is the probability of its occurrence.

Probability of other possible events PPT, Part 5 content: Class summary

Steps to find the probability of equally likely events

First sentence

Determine whether this test is an equally likely event.

Second guess

Calculate the total number of outcomes n for all basic events. Calculate the number of results m contained in the requested event A

three writes

calculate

Probability PPT of other possible events, part 6: In-person detection

1. Draw any one card from a deck of playing cards (excluding the king and king).

P (draw a red heart) =_______;

P (draw a spade) =_______;

P (draw 3 hearts) =_______;

P (draw 5) =_______.

2. Write the five letters A, B, C, D, and E on 5 identical slips of paper respectively, and put these slips in a box. After mixing them well, take out any one from them, and a message will appear. What are the possible outcomes? Are they equally possible?

3. There are 7 paper lots, marked 1, 1, 2, 2, 3, 4, 5 respectively. One of them is randomly selected.

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For more information about the PPT courseware "Probability Preliminary PPT and Other Possible Events" PPT courseware, please click on the Probability PPT tab of Preliminary Probability PPT and Other Possible Events.

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Update Time: 2024-10-04

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