Question: Need help with a discrete mathematics problem, please show all work. It will help me check my work, and explain concepts to me, thank you

Need help with a discrete mathematics problem, please show all work. It will help me check my work, and explain concepts to me, thank you

Need help with a discrete mathematics problem,
2. (20 points) Two events E1 and E2 are called independent if p(ElE2) = p(E1)p(E2). For the following pairs of events, nd the values of p(E1), p(E2), and p(E1 0E2) when a coin is tossed three times. Then determine whether or not they're independent. (a) El: tails comes up when the coin is tossed the rst time, E2 heads comes up when the coin is tossed the second time (b) E1: tails comes up when the coin is tossed the rst time, E2: exactly two heads come up in a row (0) E1: tails comes up when the coin is tossed the second time, E2: exactly two heads come up in a row ((1) Assume that E1 and E2 are independent events, prove that their complements are also independent events

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