Geomatrical Probability
Geometrical Probability
Geometrical Probability:
The general definition of probability of the occurrence of an event fails if the total number of possible outcomes of a trial in a random experiment is infinite. For example we are supposed to find the probability that a point selected at random in a given region will lie in a specified part of the region then the general definitions fails. In this type of situations the definition of probability is extended and is known as geometrical probability. It is calculated using the following formula
Here the measure can be length, area or volume of the region or space
Illustration: A dart is thrown at a circular dartboard of radius 14 cm such that it will land randomly over the area of the dartboard. What is the probability that it lands at a distance of 7 cm from the center?
Solution: As the dart board is circular in shape with a radius of 14 cm. We will calculate the area of the dart board to find the total measure of the region
A dart is thrown at a circular dartboard of radius 14 cm such that it will land randomly over the area of the dartboard. What is the probability that it lands at a distance of less that 3.5 cm from the center? | |||
| Right Option : C | |||
| View Explanation | |||
A dart is thrown at a rectangular dartboard of length 10 cm and breadth 5 cm such that it will land randomly over the area of the dartboard. What is the probability that it lands in the rectangle CBFG where BC is 3 cm and BF is 2 cm?
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| Right Option : C | |||
| View Explanation | |||
A dart is thrown at a rectangular dartboard of length 25 cm and breadth 11 cm such that it will land randomly over the area of the dartboard. What is the probability that it lands in the rectangle PQRS where PQ is 11 cm and QR is 2 cm?
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| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
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Aman Kumar Shrivastava
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
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Prisha Gupta
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
