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
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 80 runs? | |||||||||||||||||||||
Right Option : C | |||||||||||||||||||||
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 one head is obtained? | |||
Right Option : A | |||
View Explanation |
It 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.
It 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
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A 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.
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.
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Abhyas 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.
My 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.
It 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.
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