Zhong Xiaonian
Search results
Jan 5, 2021 · Learn how to calculate the probability of A or B for mutually exclusive and not mutually exclusive events. See examples of dice, cards, and urn problems with solutions.
- Probability Definition
- Events and Its Algebra
- Events Bases on Venn Diagram
- Solved Examples For You
The probability of any event is defined as the chance of occurrence of the events to the total possible outcomes. If there are ‘n’ exhaustive, mutually exclusive and equally likely outcomes of a random experiment. Out of which, ‘m’ are favorable to the occurrence of an event E. The probability definition is given as the ratio of the number of favor...
Any subset of a sample space is an event. In other words, a combinationof outcomes of a random experiment is an event. It is denoted by capital letters. In a random experiment of throwing a die, an event can be of getting any of the numbers from 1 to 6 on its uppermost face. We can calculate the probability of any of the possible events. For exampl...
A Venn diagram showing various algebra of events. Below are some of the used statements and their meaning in terms of set theory. Based on the above algebra of events, we can define some other events.
Question 1: Problem: Suppose there are 4 red, 6 blue and 2 green balls in a bag. Two balls are drawn at random from the bag. Find the probability of that the two balls drawn are red. Answer: Total number of balls in the bag = 4 + 6 + 2 = 12. Two balls are drawn at random. The total number of ways in which any two balls are drawn = 12C2 = 66. The nu...
Aug 26, 2021 · Learn how to use singular or plural verbs with compound subjects joined by "or" or "and". See examples, rules and exceptions for subject-verb agreement in English grammar.
Learn how to use "is" or "are" correctly in sentences with "or" from native English speakers. See examples, explanations and references for different cases and contexts.
Rules for Mutually Exclusive Events. In probability theory, two events are mutually exclusive or disjoint if they do not occur at the same time. A clear case is the set of results of a single coin toss, which can end in either heads or tails, but not for both.
- The events that cannot happen simultaneously or at the same time are called mutually exclusive events.
- If A and B are two mutually exclusive events, then probability of A or B is equal to the sum of probability of both the events. P(A or B) = P(A) +...
- If two events are mutually exclusive then the probability of both the events occurring at the same time is equal to zero. P(A and B) = 0.
- The examples of mutually exclusive events are tossing a coin, throwing a die, drawing a card from a deck a card, etc.
Jan 17, 2023 · Learn how to calculate the probability of A or B, which is the probability that either event A or event B occurs. See the difference between mutually exclusive and not mutually exclusive events, and how to use the formulas with examples.
Jan 14, 2023 · The intersection of events is denoted as \(A\) "and" \(B\), and is the same as the intersection of two sets \(A\) and \(B\). Mutually Exclusive Two events are mutually exclusive if they have no outcomes in common.
