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"Probability of Equally Possible Events" Probability Preliminary PPT (Lesson 3)
Part One: Learning Objectives
1. Experience the process of "raising questions, guessing, thinking and communicating, abstract generalization, and solving problems", understand the characteristics of geometric concepts that can be transformed into classical concepts, and be able to judge whether the test results are based on the symmetry or balance of the random test results. Equally possible.
2. Master the probability calculation method of geometric concepts that can be converted into classical concepts.
3. Be able to design simple probability models that meet the requirements, and initially understand that probability is a mathematical model that describes uncertain phenomena.
Probability of equally possible events PPT, part 2 content: classic examples
[Example 1] As shown in the figure, a circular turntable is divided into four sector-shaped areas A, B, C, and D in the ratio of 1:2:3:4. The turntable is freely rotated. The probability that the pointer falls in area C after stopping is_ _____.
[Example 2] The traffic light at a certain intersection lights up red for 30 seconds every minute, green for 25 seconds, and yellow for 5 seconds. When you look up at the traffic light, the probability that it is yellow is ()
A.1/12 B.5/12 C.1/6 D.1/2
[Example 3] As shown in the figure, the turntable is divided into eight sectors, and the numbers 1, 2, 3, 4, 5, 6, 7, 8 are marked on them.
(1) The turntable is freely rotating. When it stops rotating, what is the probability that the number pointed by the pointer is exactly divisible by 8?
(2) Please design a game using this turntable. When the freely rotating turntable stops rotating, the probability of the area pointed by the pointer is 3/4.
(Note: If the pointer points to the edge, it needs to be turned again until it points to the non-edge)
Probability of equally possible events PPT, part 3: Variation practice
1. As shown in the figure, when the white sector-shaped turntable with a central angle of 90° is rotated, the probability that the pointer points to the red area is _______.
2. (2019 Hainan) The traffic light at a certain intersection lights up red for 30 seconds, green for 25 seconds, and yellow for 5 seconds every minute. When Xiao Ming arrives at the intersection, the probability of encountering a green light is ()
A.1/2 B.3/4 C.1/12 D.5/12
3. As shown in the picture, the turntable is divided into six equal sectors, and the numbers 1, 2, 3, 4, 5, 6 are written on them in sequence.
(1) If the turntable is freely rotating, what is the probability that the pointer will point to the even-numbered area when it stops rotating?
(2) Please design a game using this turntable. When the freely rotating turntable stops, the probability of the area pointed by the pointer is 2/3.
Probability of other possible events PPT, Part 4: Consolidation training
4. As shown in the picture is a circular dart turntable. If you throw a dart at random, the area where the dart is most likely to land is ()
A.Red area
B. black area
C. White area
D.Purple area
5. Which of the following lottery wheel designs has an equal chance of winning ()
6. As shown in the picture, a turntable is placed horizontally (the turntable is fixed). Turn the pointer hard and let it stop freely. The correct description below is ()
A. There is a greater chance that the pointer will stop in area B than in area A.
B. The chances of the pointer stopping in the three zones are equally high
C. The area where the pointer stops is related to the radius of the turntable
D. You can decide which area the pointer stops at.
7. Among the four turntables as shown in the figure, the C and D turntables are divided into 8 equal parts; if the turntable is allowed to rotate freely once, after stopping, the probability that the pointer will fall in the shaded area with the highest probability is ()
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