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Is it true that the probability of the union of two events id the sum of the probabilities of those events?
Wiki User
∙ 13y ago
yes
P(AUB)=P(A)+P(B) but only for mutualy exclusive events
Wiki User
∙ 13y ago
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How do you find p(b) when p(a) is 23 p(ba) is 12 and p(a U b) is 45 and is a dependent event?
There are symbols missing from your question which I cam struggling to guess and re-insert. p(a) = 2/3 p(b ??? a) = 1/2 p(a ∪ b) = 4/5 p(b) = ? Why use the set notation of Union on the third given probability whereas the second probability has something missing but the "sets" are in the other order, and the order wouldn't matter in sets. There are two possibilities: 1) The second probability is: p(b ∩ a) = p(a ∩ b) = 1/2 → p(a) + p(b) = p(a ∪ b) + p(a ∩ b) → p(b) = p(a ∪ b) + p(a ∩ b) - p(a) = 4/5 + 1/2 - 2/3 = 24/30 + 15/30 - 20/30 = 19/30 2) The second and third probabilities are probabilities of "given that", ie: p(b|a) = 1/2 p(a|b) = 4/5 → Use Bayes theorem: p(b)p(a|b) = p(a)p(b|a) → p(b) = (p(a)p(b|a))/p(a|b) = (2/3 × 1/2) / (4/5) = 2/3 × 1/2 × 5/4 = 5/12
What are Demorgans Law Also explain the use of Demorgans law with example?
The Demorgans Law includes the union, intersection, and complement in mathematics. Examples are A intersection B and B union A. Those are the basic examples.
What does the math word union mean?
ALL the elements in set A combined with all the elements in set B.Example:When A={1,2,3,4} and B={2,3,6} The union of Sets A and B would be: {1,2,3,4,6} , because both sets contain those numbers.
Can king soopers employees work two shifts within 24 hours?
Yes. Union cry baby. Learn to negotiate yourself and you will make what the union "fights for" plus what you pay those 'tards. Don't like it? Pop a few babies out and collect welfare like the rest of America.
Was mathew brady for the confederate or union?
Union.
What is union probability?
A union probability is denoted by P(X or Y), where X and Y are two events. P(X or Y) is the probability that X will occur or that Y will occur or that both X and Y will occur. The probability of a person wearing glasses or having blond hair is an example of union probability. All people wearing glasses are included in the union, along with all blondes and all blond people who wear glasses. According to Professor Franz Kurfess of California Polytechnic State University, San Luis Obispo, union probability of two independent events A and B can be denoted as: P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = P(A) + P(B) - P(A) * P (B)
Assume that A and B are events in a sample spaceWhich of the following could possibly hold:1. P(AUB) < P(A∩B)2. P(AUB) = P(A∩B)3. P(AUB) > P(A∩B) If someone could explain the answer in detail I would appreciate it?
P(A) denotes the probability that event A may occur. 'A' can be a single event or a group of events in which case P(A) is the probability that an event in A may ocur. Thinking just about the events, (AUB) is the union of event A and B, that is the events that are in A and B. (AՈB) is the intersection of A and B, that is the events that are common to A and B. From this you can figure that (AՈB) cannot be larger than (AUB). If A = B, then we have that (AUB) = (AՈB). There is the possibility of (AՈB) being smaller than (AUB) or even being zero if A and B don't have events in common.
What were the differences in ideology and the events that increased tensions between the US and Soviet Union?
Soviet Union was communist.
What is probability of union and probability of intersection?
probablity of union probabilty of union is define as P(AUB)=P(A)+P(B)-P(AnB) (for not mutualy exclusive data( where atleast one event is common in two samples) P(AUB)=P(A)+P(B) (mutualy exculsive) probablity of intersect P(AnB)=P(A).P(B)
If forty percent of the workers in a certain factory are members of a union find approximate probability that in a sample of threehundred workers the number of union members is between 100 and 130?
120
What events led to the Bosnian War?
The collapse of the Soviet Union in 1990.
What events officially marked the end of the Soviet Union?
The August Revolt
What events brought on the end of the cold war?
The fall of the Soviet Union
What events in the soviet union led to the end of the cold war?
The Chernobyl disaster Brought about perestroika
What yearly events does ACLU have?
The American Civil Liberties Union has annual events such as a forum and an annual Bill of Rights dinner. They also have youth events and smaller conferences.
How do you use union in a sentence?
When, in the course of human events, it becomes necessary to form a more perfect union...The union forged by these companies will outperform all competition, no doubt.
What major events happen in Afghanistan 1979?
The Soviet Union invaded Afghanistan.
