![]() Example: the probability that a card is a four and red =p(four and red) = 2/52=1/26. (There are two red fours in a deck of 52, the 4 of hearts and the 4 of diamonds). Joint probability is that of event A and event B occurring. It is the probability of the intersection of two or more events. The probability of the intersection of A and B may be written p(A ∩ B). If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a. It may be thought of as an unconditional probability. It is not conditioned on another event. Example: the probability that a card drawn is red (p(red) = 0.5). Another example: the probability that a card drawn is a 4 (p(four)=1/13). Marginal probability: the probability of an event occurring (p(A)) in isolation.So out of the 26 red cards (given a red card), there are two fours so 2/26=1/13. For example, given that you drew a red card, what’s the probability that it’s a four (p(four|red))=2/26=1/13. Conditional probability: p(A|B) is the probability of event A occurring, given that event B occurs. ![]() Joint Probability and Marginal Probability
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