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THEORETICAL PROBABILITY 1) When flipping a fair coin twice: a) what is the probability it lands on tails both times? b) what is the probability it lands on heads on the first flip, and tails on the second flip? c) what is the probability it lands on heads once and tails once? 2) When flipping a fair coin three times: a) write down the sample space (i.e., all possible outcomes) below: b) what is the probability it lands on tails all three times? c) what is the probability that it lands on heads once, and tails twice? d) what is the probability it lands on heads at least once? e) what is the probability it lands on heads at most once? 3) When rolling two fair dice and taking the sum: a) How many possible outcomes are there? b) what is the probability that the sum is an odd number? c) what is the probability that the sum is greater than 7? d) what sum has the highest probability of occurring?