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Help me answer my assignment, this topic is under Conditional Probability Formulas. EXERCISES 1. If E is any event in sample space S show that

Help me answer my assignment, this topic is under Conditional Probability Formulas.

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EXERCISES 1. If E is any event in sample space S show that E and S are independent? 2. Three coins are tossed. Show that the event "heads on the first coin" and the event "tails on the last two coins" are independent. 3. In the two-dice experiment given that rtw2 10, find the probability that r=5. given that r+w=8, find the probability that w24

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