What is the difference between Atleast and Atmost in Probability?
By BYJU'S Exam Prep
Updated on: September 25th, 2023
What is the difference between Atleast and Atmost in Probability?
In probability, “at least” signifies the minimum number or more successful outcomes, while “at most” indicates the maximum number or fewer successful outcomes. When using “at least,” you consider all outcomes from the specified number onwards, including that number itself. In contrast, when using “at most,” you consider all outcomes up to and including the specified number. Essentially, “at least” includes the specified number or more, while “at most” includes the specified number or fewer within the range of possible outcomes.
Table of content
Difference Between Atleast and Atmost In Probability
In probability, at least and at most are terms used to describe the range of possible outcomes.
At least refers to the minimum number of successful outcomes or events that can occur. It means the event occurs with that minimum number of occurrences or more.
For example- if you roll a fair six-sided die, the probability of getting at least a 4 means the probability of getting a 4, 5, or 6. It includes all outcomes that are equal to or greater than 4.
On the other hand, At most refers to the maximum number of successful outcomes or events that can occur. It means the event occurs with that maximum number of occurrences or less.
For example – Rolling a fair six-sided die, the probability of getting at most a 4 means the probability of getting a 4, 3, 2, 1, or even no successful outcome (i.e., getting a 1, 2, or 3). It includes all outcomes that are equal to or smaller than 4.
Note-
- At least includes the specified number or more.
- At most includes the specified number or fewer.
Summary
What is the difference between Atleast and Atmost in Probability?
In probability, at least refers to the minimum number or more of successful outcomes, while at most refers to the maximum number or fewer of successful outcomes. At least includes the specified number or more, while at most includes the specified number or fewer within the range of possible outcomes.
Related Questions
- What Are The First 30 Elements
- Write Five Uses Of Convex Mirror
- Find five rational numbers between 3/5 and 4/5
- In Indian rupees, 1 trillion is equal to how many crores?
- Find the Probability of a Leap Year having 53 Sundays
- The distance between Delhi and Agra is 200 km. A train travels the first 100 km at a speed of 50 km/h. How fast must the train travel the next 100 km, so as to average 70 km/h for the whole journey?
- A train travels the first 15 km at a uniform speed of 30 km/h; the next 75 km at a uniform speed of 50 km/h; and the last 10 km at a uniform speed of 20 km/h. Calculate the average speed for the entire train journey.
- A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kilometers away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
