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.
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