Atleast Probability
At Least Probability
At Least Probability:
In general language at least means that the set can have value more than or equal to that value. For example in a bag of balls numbered 1 to 20, the ball having number at least10 means a group of balls having value more than or equal to 10. At least in the probability means that the favorable cases are those possibilities that that are larger than or equal to that value. So, we can say that at least means minimum value the group can have.
Illustration: The percentage of marks obtained by a student in monthly unit tests are given below.
| Test | I | II | III | IV | V | VI |
| Percentage of marks | 52 | 60 | 65 | 75 | 80 | 72 |
Find the probability that in the next test the student gets:
(i) more than 70% marks
Solution:Total number of tests = 6
The tests in which the student scored more than 70% marks are IV, V and VI
Number of tests in which the student scored more than 70% marks = 3
P (more than 70% marks)
(ii) at least 60% marks
Solution:Total number of tests = 6
The tests in which the student scored at least 60% marks are II, III, IV, V, VI
Number of tests in which the student scored at least 60% marks = 5
Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standarised conditions favorable to germination. After 20 days the number of seeds which had germinated in each collection were counted and recorded as follows:
What is the probability of germination of at least 40 seeds in a bag? | |||||||||||||||
| Right Option : D | |||||||||||||||
| View Explanation | |||||||||||||||
The score of a batsman in 80 ODI's is as follows:
What is the probability that in the next match the batsman will score at least 70 runs? | |||||||||||||||||||||
| Right Option : C | |||||||||||||||||||||
| View Explanation | |||||||||||||||||||||
A coin is thrown 3 times .what is the probability that atleast two head is obtained? | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
About 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
8thAbhyas 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
7thI 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
10thOne 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
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
7thIt 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.
Eshan Arora
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
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
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
