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
A coin is thrown 3 times .what is the probability that atleast one head is obtained? | |||
Right Option : A | |||
View Explanation |
Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardised conditions favourable to germination. After 20 days, the number of seeds, which had germinated was counted and recorded as follows :
What is the probability of germination of at least 40 seeds in a bag. | |||||||||||||||
Right Option : B | |||||||||||||||
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 80 runs? | |||||||||||||||||||||
Right Option : C | |||||||||||||||||||||
View Explanation |
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
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.
My 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.
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.
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.
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.
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.
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
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.