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
Two coins are tossed simultaneously. The probability of getting atleast one tail is _______________ | |||
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 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 |
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.
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.
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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.
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.
One 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.