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A three-digit PIN code is to be chosen using a random number generator. Numbers 0 to 9 can be chosen for each digit. There are

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A three-digit PIN code is to be chosen using a random number generator. Numbers 0 to 9 can be chosen for each digit. There are no restrictions. Numbers may be repeated, and all selections are independent. Please define events A, B, and C, as follows: A = at least one 4 is chosen, B = exactly two different digits are chosen, and C = all 3 digits are different. In terms of the event definitions given above, answer the following questions: i. Calculate P(A]. ii. Calculate P(B). ili. Calculate P(C). iv. Calculate P(A| B). V. Calculate P(B ) C). Are events B and C independent? Explain

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