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shanks2020
KarishmaB BunuelIn general in a probability question, how would we know that P(A) and P(B) can occur together or not? Or whether P(A intersection B) is 0 or not? So if a question is P(A) or P(B), so when should we subtract P(A and B) and when not? Is that clearly given in question that there is intersection ?
P(A or B) = P(A) + P(B) - P(A and B) for all A and B
In some cases, P(A and B) = 0
Either we are given that the events are mutually exclusive or it is obvious that they are e.g. A = "It will rain here today" and B = "It will not rain here today" or A = "I will wear red pants to work today" and B = "I will wear blue pants to work today" etc) Both cannot occur together.
Independent events means they are not related to each other e.g. A = "It will rain here today" and B = "I will get a new client at work today."
The two events are independent of each other. Here, P(A and B) = P(A) * P(B)