(c) A bowl contains a large number of M&Ms; (for the uninitiated, these are cand
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Question
(c) A bowl contains a large number of M&Ms; (for the uninitiated, these are candy-covered chocolate buttons like smarties). A single M&M; is chosen at random, its colour is observed, and then it is returned to the bowl. A second M&M; is chosen at random and its colour is observed. Let A be the event that the first M&M; is yellow and B be the event that the second M&M; is blue. (i) Provide a reason why you think P(B|A) = P(B) is true or not. (ii) Therefore, are the events A and B independent? (d) An adult member of the Australian population is chosen at random. Let A be the event that chosen person was born in Australia and let B be the event that the person speaks more than one language. (i) Provide a reason why you think P(B|A) = P(B) is true or not. (ii) Therefore, axe the events A and B likely to be independent?Explanation / Answer
c) (i) Yes, P(B/A) = P(B) because events are ocurring in replacement scenarios. So, event B does not depend on the outcome of A
ii) yes , they will be independent because P(B/A) = P(B)
d) Yes, P(B/A) = P(B) because events are ocurring in replacement scenarios. So, event B does not depend on the outcome of A
(ii) yes , they will be independent because P(B/A) = P(B)
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