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 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 | |||
A dart is thrown at a circular dartboard of radius 7 cm such that it will land randomly over the area of the dartboard. What is the probability that it lands at a distance of more than 3.5 cm from the center? | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
I 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
10thAbout 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
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Cheshta
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Eshan Arora
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Barkha Arora
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
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
7thA 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
7thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thAbhyas 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.
