In each of the following scenarios, there is something wrong. Describe what is wrong and give a reason for your answer. a) If the sample space consists of two outcomes, then each outcome has probability 0.5. b) If we select a digit at random between 0 to 9, then the probability of selecting a 2 is 0.2. c) If the probability of A is 0.3, the probability of B is 0.2, and the probability of A and B is 0.5, then A and B are independent.

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In each of the following scenarios, there is something wrong. Describe what is wrong and give a
reason for your answer.
a) If the sample space consists of two outcomes, then each outcome has probability 0.5.
b) If we select a digit at random between 0 to 9, then the probability of selecting a 2 is 0.2.
c) If the probability of A is 0.3, the probability of B is 0.2, and the probability of A and B is 0.5, then
A and B are independent.

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