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In a course on "Probability Part - 1," students will learn the foundational concepts of probability theory, which is the mathematical study of randomness and uncertainty. This course typically serves as an introduction to probability, providing students with the necessary tools to understand and work with basic probabilistic concepts
1. In a cricket match, a batswoman plays many balls and hits a boundary some times. How to find the probability that she did not hit a boundary?
2. Three coins are tossed simultaneously a large number of times. How to compute the probability of 2 heads coming up?
3. In a group of large number of families, number of girls in each family were recorded. How to calculate the probability of a family having 2 girls, 1 girl and no girl. How to check whether the sum of these probabilities is 1 ?
4. All the students of a class were asked about the month their birth. How the find the probability that a student of the class was born in a particular month?
5. There are some bags of wheat flour marked to be having specified weight. But a few of these bags contain more or less than the specified weight. How to find the probability that a bag may contain more than the specified weight?
6. An organization selects a few hundred family for survey to determine a relationship between income level and number of vehicles in a family.
7. How to find the probability that a family is earning income in a particular range and owing a specified number of vehicles?
8. The teacher has grouped the students on the basis of marks obtained in a class test. How to find the probability that a student obtains specified marks?
9. In a class, the students have been asked to write a 3-digit number. How to calculate the probability that the number written by a student is divisible by 3?
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After going through this course, the students will learn that: 1. Probability is a fundamental concept in mathematics and statistics. 2. It quantifies the likelihood of an event occurring. It represents a numerical value between 0 and 1, where 0 indicates an impossible event, 1 denotes a certain event, and values in between reflect varying degrees of likelihood. 3. Whether it's predicting the weather conditions, assessing the chances of winning a game, or making informed financial investments, probability is an essential tool that helps us in making rational decisions in situations where outcomes are uncertain or unpredictable. 4. Its applications are diverse and far-reaching, making it an indispensable concept in modern-day problem-solving and decision-making.
1. In a cricket match, a batswoman plays many balls and hits a boundary some times. How to find the probability that she did not hit a boundary? 2. Three coins are tossed simultaneously a large number of times. How to compute the probability of 2 heads coming up?
In a group of large number of families, number of girls in each family were recorded. How to calculate the probability of a family having 2 girls, 1 girl and no girl. How to check whether the sum of these probabilities is 1 ?
1. All the students of a class were asked about the month their birth. How the find the probability that a student of the class was born in a particular month? 2. There are some bags of wheat flour marked to be having specified weight. But a few of these bags contain more or less than the specified weight. How to find the probability that a bag may contain more than the specified weight?
1. An organization selects a few hundred family for survey to determine a relationship between income level and number of vehicles in a family. How to find the probability that a family is earning income in a particular range and owing a specified number of vehicles? 2. How to find the probability that a particular type of vehicle has passed in front of your school gate?
The teacher has grouped the students on the basis of marks obtained in a class test. How to find the probability that a student obtains specified marks?
In a class, the students have been asked to write a 3-digit number. How to calculate the probability that the number written by a student is divisible by 3?