5.100 Tom has a coin with probability p of a head and Dick has a coin...

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5.100 Tom has a coin with probability p₁ of a head and Dick has a coin with probability p2 of a head. Tom and Dick alternate tossing their coins, with Tom going first. The first person to get a head wins. a) Find the probability that Tom wins. Hint: First obtain the probability that Tom wins on toss 2n + 1. b) Evaluate the probability in part (a) if both coins are balanced. c) What must be the relationship between p₁ and p2 to make the game fair? d) If Dick's coin is balanced, what must be the probability of a head for Tom's coin to make the game fair? 5.100 Tom has a coin with probability p₁ of a head and Dick has a coin with probability p2 of a head. Tom and Dick alternate tossing their coins, with Tom going first. The first person to get a head wins. a) Find the probability that Tom wins. Hint: First obtain the probability that Tom wins on toss 2n + 1. b) Evaluate the probability in part (a) if both coins are balanced. c) What must be the relationship between p₁ and p2 to make the game fair? d) If Dick's coin is balanced, what must be the probability of a head for Tom's coin to make the game fair?

Answer rating: 100% (QA)

answer a probability of wininng tom is like thisH TT... View the full answer