Mutually Exclusive Events Two events are mutually exclusive if they cannot occur at the same time. If two events are mutually exclusive, then the probability of either occurring is the sum of the probabilities of each occurring.
Q. What is a conditional probability in statistics?
Conditional probability refers to the chances that some outcome occurs given that another event has also occurred. It is often stated as the probability of B given A and is written as P(B|A), where the probability of B depends on that of A happening.
Table of Contents
- Q. What is a conditional probability in statistics?
- Q. What is the difference between independent and conditional probability?
- Q. What would happen if the two events are statistically independent?
- Q. What does a mean in probability?
- Q. What is the and rule in probability?
- Q. What does upside down U mean in probability?
- Q. What does an upside down V in math mean?
- Q. What does V mean?
- Q. What does the line mean in probability?
- Q. What does ∪ mean in probability?
Q. What is the difference between independent and conditional probability?
A conditional probability is the probability that an event has occurred, taking into account additional information about the result of the experiment. Two events A and B are independent if the probability P(A∩B) of their intersection A ∩ B is equal to the product P(A)·P(B) of their individual probabilities.
Q. What would happen if the two events are statistically independent?
Two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other (equivalently, does not affect the odds). It is stronger since independence implies pairwise independence, but not the other way around.
Q. What does a mean in probability?
The probability of an event is shown using “P”: P(A) means “Probability of Event A” The complement is shown by a little mark after the letter such as A’ (or sometimes Ac or A): P(A’) means “Probability of the complement of Event A”
Q. What is the and rule in probability?
Sometimes we want to know the probability of getting one result or another. When events are mutually exclusive and we want to know the probability of getting one event OR another, then we can use the OR rule. P(A or B) = P(A) + P(B) for mutually exclusive events.
Q. What does upside down U mean in probability?
A∩B
Q. What does an upside down V in math mean?
The “V” symbols in the reader’s question are ∨ and ∧, which mean “Logical Or” and “Logical And.” The ∧ is a capital Greek Lambda. The small ^ or “caret” is available on most keyboards as “shift-6”; it symbolizes the exponentiation function.
Q. What does V mean?
versus
Q. What does the line mean in probability?
= P(A) • P(B|A) or P(B)*P(A|B) Note: this straight line symbol, |, does not mean divide! This symbols means “conditional” or “given”. For instance P(A|B) means the probability that event A occurs given event B has occurred.
Q. What does ∪ mean in probability?
Union is denoted by the symbol ∪ . The general probability addition rule for the union of two events states that P(A∪B)=P(A)+P(B)−P(A∩B) P ( A ∪ B ) = P ( A ) + P ( B ) − P ( A ∩ B ) , where A∩B A ∩ B is the intersection of the two sets.
