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The events 'the first card has a one on it' and 'the second card has a two on it' are mutually exclusive. Only if the first card does not have a one on it will the second draw be required. If two events A and B are mutually exclusive: The probability of A and B occurring is zero. That is: \[\large P(A\cap B)=0\] The probability of A or B occurring is the probability of A plus the probability of B: \[\large P(A\cup B)=P(A)+P(B).\] Do you follow so far?
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