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A number which consists of four digits is formed from a set of integers {1, 2, 3, 4, 5, 6, 7, 8, 9}. Events A, B and C are defined as follows:
A: The number does not contain digit 6.
B: The number consists of four different digits.
C: The number begins with digit 3.
a. Find P( ∪ )
b. State, with reason, whether events A and B are independent.
If we define an event as the number six showing, what is the probability of this event happening? How do you know? Would you class this as theoretical.
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