"The Probability of Touching the Red Ball" Frequency and Probability PPT Courseware 2

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"The Probability of Touching the Red Ball" Frequency and Probability PPT Courseware 2

Review the past and learn the new

The bag contains two balls, which are identical except for their color. Take a ball at random from the bag.

1. If both balls in the bag are red and one is a red ball, then the red ball is a _____ event; the one that is a white ball is a _____ event; (optional "inevitable" or " Not sure" "impossible")

2. If there is a red ball and a white ball in the box, and one is a red ball, it is called a _____ event.

(1) If there are 3 red balls and 1 white ball in the box, students think that if this student touches any ball, what color might the ball drawn out be?

(2) If each ball is numbered, namely ball No. 1 (red), ball No. 2 (red), ball No. 3 (red), and ball No. 4 (white), then the student touches each ball. Are the balls equally likely?

(3) If you pick up a ball at random, can you tell all the possible outcomes?

All possible results are: Ball No. 1, Ball 2, Ball No. 3, Ball No. 4. The possible results of touching the red ball are: Ball No. 1, Ball 2, Ball No. 3.

Practice brings true knowledge

The box contains three red balls and one white ball, which are identical except for their color. Xiao Ming took out a ball at random from the box.

Conclusion: The probability of getting a red ball is 3/4, and the probability of getting a white ball is 1/4.

The more experiments are performed, the closer the experimental results are to the correct conclusion.

Example explanation

Example 1. Randomly throw a small uniform cube (each face of the cube is marked 1, 2, 3, 4, 5, 6),

(1) What is the probability of rolling a "3" up?

(2) What is the probability of throwing an "odd number"? What is the probability of rolling an "even number"?

(3) What is the probability of rolling "a multiple of 3"? What is the probability of rolling "not a multiple of 3"?

Math training ground

1. Throwing a small uniform cube (each face of the cube is marked with 1 point, 2 points, 3 points, 4 points, 5 points, 6 points), the probability that "4 points" will land up is ( ).

A.1/6 B.1/5 C.1/4 D.1/3

2. Among the following events, the probability of occurrence is 0 ( )

A. Roll a dice and 6 o'clock comes up B. The sun rises from the east

C. Xiao Ming can grow to 3 meters tall D. Toss a coin and it will come up heads

3. There are 45 people in class 1 (1) taking the final exam, and 42 of them passed. A test paper is randomly selected from them. The probability of failing is ( )

A.14/15 B.1/15 C.1/3 D. Unsure

4. Xiaogang tosses a coin and gets heads 9 times in a row. When he tosses the coin for the tenth time, the probability of tails is ( )

A.0 B.1 C.1/2 D.1/10

Apply what you learn

1. Design a ball-touching game using 4 balls that are identical except for color.

1) Make the probability of getting a white ball 1/2 and the probability of getting a red ball 1/2;

2) The probability of getting a white ball is 1/2, and the probability of getting a red ball and a yellow ball is 1/4;

3) Can you design a game that satisfies the above conditions using 12 balls that are exactly the same except for color?

2. The teacher has a movie ticket in his hand, but both Xiaohong and Xiaohua want it. Xiaohong said: "Use a small uniform cube to decide who goes. (Each side of the cube is marked with 1.) , 2, 3, 4, 5, 6), if the roll is "a multiple of 3", then you go, if the roll is "not a multiple of 3", then I go."

Question: (1) Is Xiaohong’s method fair? Why.

(2) If the game is unfair, please change the rules of the game to make it fair.

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Update Time: 2024-10-02

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