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Probability is the chance of an event occurring. For example when flipping a coin you have a 50% chance that it will land on heads and a 50% chance that it will land on tails since there are only two possibilities.
Conditional probability refers to when one event is dependent on another event occurring. It can also be written as the probability of an event B occurring after event A has already occurred. The notation for conditional probability is P(B|A). (Note: this does not mean B divided by A but probability of B after A)
When two events are dependent, the probability of them both occurring is:
P(A and B)=P(A)P(B|A)
So for example: 53% of residents have home owners insurance. Of them, 27% has auto-insurance. If a resident is selected at random, what is the probability they with have both insurances?
Let H stand for home owners insurance = 53% or 0.53
Let A stand for auto insurance = 27% or 0.27
P(H and P)=P(H)P(A/H)
=(0.53)(0.27)
= 0.1431
So the probability of residents have both home owners and auto insurance is 0.1431 or 14.31%
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What is the relationship between conditional probability and the concept of statistical independence?
If events A and B are statistically indepnedent, then the conditional probability of A, given that B has occurred is the same as the unconditional probability of A. In symbolic terms, Prob(A|B) = Prob(A).
The probability of event A occurring given event B has occurred is an example of?
The probability of event A occurring given event B has occurred is an example of conditional probability.
What is best graphical method for calculating joint and conditional probability?
Tree diagram
What event is it whose probability depends on one or more event?
A conditional event.
Out of a standard 52 card deck what is the probability of drawing a heart given that a red card was drawn first?
This is a conditional probability, given the card is red, what is the chance it is a heart. Since there are 2 red hearts, the probability if 1/2
A probability based upon an event that has already occurred?
May - or may not - be a conditional probability. A conditional probability is not becessarily chronologically structured.
What are conditional connectives. Explain with an example?
What are conditional connectives? Explain use of conditional connectives with an example
What do I call a probability that is based upon an event that has already occurred?
It can be called a "conditional probability", but the word "conditional" is irrelevant if the two events are independent.
Why conditional probability is different from common probability?
Conditional probabilities arise when you revise the probabilities previously attached to some events in order to take new information into account. The revised probabilities are 'conditional on the new information you have received'.
What is the relationship between conditional probability and the concept of statistical independence?
If events A and B are statistically indepnedent, then the conditional probability of A, given that B has occurred is the same as the unconditional probability of A. In symbolic terms, Prob(A|B) = Prob(A).
The probability of event A occurring given event B has occurred is an example of?
The probability of event A occurring given event B has occurred is an example of conditional probability.
What is best graphical method for calculating joint and conditional probability?
Tree diagram
What event is it whose probability depends on one or more event?
A conditional event.
What is an examle of conditional probability?
The probability that, if I get caught by a red light at one set of traffic lights, I will get a green at the next lights is an example.
What is the probability of tossing four coins and getting four heads if the first two tosses are heads?
The conditional probability is 1/4.
Out of a standard 52 card deck what is the probability of drawing a heart given that a red card was drawn first?
This is a conditional probability, given the card is red, what is the chance it is a heart. Since there are 2 red hearts, the probability if 1/2
How do you find the probability of an event followed by another event?
If the events are independent then you can multiply the individual probabilities. But if they are not, you have to use conditional probabilities.
