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
The following frequency distribution table shows the weights of 38 student of a class.
Find the probability that the weight of a student in the class is:at most 60 kg. | |||||||||||||||||
Right Option : C | |||||||||||||||||
View Explanation |
Over the past 200 working days, the number of defective parts produced by a machine is given in the following table:
Determine the probability that tomorrows output will have:at most one defective part. | |||||||||||||||||||||||
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 |
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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.
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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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.
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
Being 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.
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.
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 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.