In general language at the most means that the set can have value less than or equal to that value. For example in a bag of balls numbered 1 to 20, the ball having number at the most 10 means a group of balls having value less than or equal to 10. At most in the probability means that the favorable cases are those possibilities that that are smaller than or equal to that value. So, we can say that at most means maximum value the group can have.
Illustration: 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:
Bag: | 1 | 2 | 3 | 4 | 5 |
Number of seeds germinated: | 40 | 48 | 42 | 39 | 41 |
What is the probability of germination of:
(i) more than 40 seeds is a bag?
Solution:Total number of bags = 5
Bags in which more than 40 seeds germinated out of 50 seeds are 2, 3, and 5
So total number of bags in which more than 40 seeds germinated out of 50 seeds = 3
Probability of germination of more than 40 seeds in a bag
(ii) at most 40 seeds in a bag?
Solution:Total number of bags = 5
Bags in which at most 40 seeds germinated out of 50 seeds are 1 and 4
So total number of bags in which at most 40 seeds germinated out of 50 seeds = 2
Probability of germination of at most 40 seeds in a bag
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 most 30 seeds in a bag. | |||||||||||||||
Right Option : B | |||||||||||||||
View Explanation |
Two coins are tossed simultaneously. The probability of getting at the most two tails is _______________ | |||
Right Option : B | |||
View Explanation |
Two coins are tossed simultaneously. The probability of getting at the most one head is _______________ | |||
Right Option : B | |||
View Explanation |
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.
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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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.
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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.
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.
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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.