Ten discs with a different number (0, 1, 2 . . .. 9) printed on them are placed in a bag. Two discs are taken out of the bag one at a time at random to form a two digit number (where 08 is counted as the number 8). Assuming the first disc is replaced before the second is chosen, find the following probability that: (a) the number is even; (b) the number is less than 30; (c) the number is 67; and (d) the two digits forming the number are equal. What would happen to your answers to (a)–(d) if the first disc is not replaced before the second is chosen?
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