"Which method is more cost-effective" Statistics and Probability PPT Courseware 2

Description

"Which method is more cost-effective" Statistics and Probability PPT Courseware 2

learning target

1. Let students have a preliminary understanding of how to judge whether an event is "economical" and use it to judge some phenomena in real life.

2. Learn more about the connection between probability and statistics.

Explore new knowledge

In order to attract customers, a shopping mall set up a freely rotating turntable (as shown in the picture), and stipulated that every time a customer purchases 100 yuan of goods, they will get a chance to turn the turntable. If the turntable stops and the pointer is aligned with the red, In the yellow and green areas, customers can get shopping vouchers of 100 yuan, 50 yuan, and 20 yuan respectively. With the shopping vouchers, they can continue shopping in the mall. If the customer does not want to turn the carousel, he can directly get a shopping voucher of 10 yuan. Which way do you think is more cost-effective, spin the wheel or get shopping coupons directly?

Concise knowledge

think about it

(1) Change the turntable to the one in Figure 2. If the pointer is aligned with the red, yellow, and green areas after the turntable stops, the customer will still get 100 yuan, 50 yuan, and 20 yuan shopping coupons respectively. Compared with the previous turntable , which turntable is more cost-effective for customers?

(2) Without using experiments, can you find the average amount of shopping coupons obtained each time the wheel is rotated?

In-person training one

1. Use another turntable to perform the above activity. Xiaoying draws the fan-shaped statistical chart below based on the experimental data to find the average amount of shopping coupons obtained each time the turntable is turned.

2. As shown in the picture, every small square in the picture is exactly the same except for the color. Xiao Ming is blindfolded and throws darts on the picture. If the dart hits the shaded part, Xiao Ming goes to watch a movie; if the dart hits the white square, Xiao Ming's brother can go to the movie with their only movie ticket. If the dart hits the dividing line or outside the picture, it will not count and will be re-thrown. Is this game fair to Xiao Ming and his brother? Why?

3. As shown in the picture, there is a turntable that can rotate freely. Xiao Ming and Xiao Liang are going to use it to play games, and stipulate that the two people take turns turning the turntable. Each time the turntable is turned, when the turntable stops, which area the pointer is exactly aligned with will be the corresponding area. The score of the number marked on the area·After rotating 100 times, whoever has more points wins.

(1) Find the average number of points obtained each time the wheel is turned.

(2) Xiao Ming transferred 100 times and got 20 points. Therefore, he thinks the result in (1) is wrong. Do you agree with Xiao Ming?

In-person training 2

1. During a recreational activity, the math club organized a coin tossing game. It costs four 50-cent tickets to play the game. A player flips two coins. If the coins land with heads up, the player gets a prize. Each prize costs the club $5. Can the club expect to profit from this game? If so, how much? If not, provide an explanation.

2. Xiao Ming saw others playing a game at the playground. A ticket is required to play this game, in which players throw two plastic cylindrical bottles. If both bottles stand upside down, the player gets 10 tickets to play other games. Xiao Ming watched others play for a while and recorded the results in the table.

Both sides are facing up 24 times

One bottom up and one edge up 14 times

Both are bottoms up 2 times

(1) Based on Xiao Ming’s recorded results, what is the experimental probability of winning the game?

(2) Based on the above probability, if Xiao Ming plays this game 20 times, how many times can he win?

(3) After Xiao Ming plays 40 times, how many tickets may he get or lose? Give reasons.

summary:

The knowledge to be mastered in this class is: through specific problem situations, understand how to judge whether something is "economical" and use it to judge some phenomena in real life; explore the calculation method of "average benefit".

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"Which method is more cost-effective" Statistics and Probability PPT courseware:

"Which method is more cost-effective" Statistics and Probability PPT courseware Mathematics comes from life. Maybe you have been attracted by large lottery advertisements, maybe you have experienced various lottery promotions. Have you studied the possibility of winning various awards? ? In order to attract customers, a shopping mall set up...

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Update Time: 2024-09-22

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade Mathematics Volume 2 industry PPT template

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