(a) What is meant by the conditional probability of E given F? How is this probability calculated?
(b) What are independent events?
(c) If E and F are independent events, what is the probability of E and F occurring? What if E and F are not independent?
(d) A jar contains 3 white and 7 black balls. Let E be the event “the first ball drawn is black” and let F be the event “the second ball drawn is black.”
(i) Find if the balls are drawn with replacement.
(ii) Find if the balls are drawn without replacement.
The meaning of the conditional probability of E given F, and give formula.
The conditional probability is the probability that E occurs if we know that F has occurred and given by,
The independent events.
The probability of two independent and no independent events E and F.
The value of , and the value of for the given condition.
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