SOLUTION: : A fair coin is tossed three times and the events A, B, and C are defined as follows: A:{ At least one head is observed } B:{ At least two heads are observed } C:{ The number o

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Question 1156578: : A fair coin is tossed three times and the events A, B, and C are defined as follows:
A:{ At least one head is observed }
B:{ At least two heads are observed }
C:{ The number of heads observed is odd }
Find the following probabilities by summing the probabilities of the appropriate sample points:
(a)P(¯A¯∩B)

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


If "¯A¯" means "not A", then P(¯A¯∩B) is 0, because ¯A¯ means no heads are observed and B means at least two heads are observed. Obviously both of those at the same time is impossible.


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