jabhatta@umail.iu.edu wrote:
"Because events A and B are independent, the probability that both A and B occur is the product of their individual probabilities"Hi Experts
chetan2u,
VeritasKarishma,
Bunuel,
generis,
MahmoudFawzyWhy is that when two events are independent, the product of BOTH occurring at the same is a cross multiplication
I thought logically, the product of BOTH events happening at the same time when independent would be zero
Please assist in this logic
Independent events means they are not related to each other. They are not necessarily mutually exclusive.
e.g. the probability that it will rain in the day and the probability of getting a surprise test in school are independent. One doesn't depend on the other. It is possible that both will happen, only one will happen or neither will happen.
Say probability of rain is 1/5
Probability of a surprise test is 1/4
Probability that on any given day, both will happen = 1/5 * 1/4 = 1/20
Mutually exclusive events are those in which if one happens the other doesn't happen.
e.g. "a friend will visit me today" and "no one will visit me today" are mutually exclusive. If one happens, other cannot happen.
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Karishma
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