A game has the following rules: An unbalanced coin is flipped 4 times. If two heads come up then you are paid 10 dollars. Otherwise, you must pay 2 dollars. The expected average payoff per game is 0 dollars per game. Find the probability of getting ahead if you flip the coin once. Round your answer to the nearest 1000th of a percent.
A game has the following rules: An unbalanced coin is flipped 4 times. If two heads...
Consider a game in which a coin will be flipped three times. For each heads you will be paid $100. Assume that the coin comes up heads with probability 1/3. a. Construct a table of the possibilities and probabilities in this game. Probability Outcome Possibilities 0 heads, 3 tails / 1 heads, 2 tails 2 2 heads, 1 tails 3 3 heads, 0 tails b. Compute the expected value of the game. The expected value of the game is $...
Consider a game in which a coin will be flipped three times. For each heads you will be paid $100. Assume that the coin comes up heads with probability 1/3. a. Construct a table of the possibilities and probabilities in this game. Probability Outcome Possibilities 0 heads, 3 tails / 1 heads, 2 tails 2 2 heads, 1 tails 3 3 heads, 0 tails b. Compute the expected value of the game. The expected value of the game is $...
Stacy and George are playing the heads or tails game with a fair coin. The coin is flipped repeatedly until either the fifth heads or the fifth tails appears. If the fifth heads occurs first, Stacy wins the game. Otherwise, George is the winner. Suppose that after the fifth flip, three heads and two tails have occurred. What is the probability that Stacy wins this game?
You have flipped a fair coin 5 times and gotten a result of heads each time. What can you tell me about the probability of getting a result of heads on the 6th flip?
What is the probability of getting 2 heads when a fair coin is flipped 4 times?
2. A coin is altered so that the p coin is flipped three times as altered so that the probability of getting a head on every flip is 0.6. Suppose this (*) is flipping the coin a binomial experiment? Explain by checking if the four properties of binomial experiments are satisfied. (b) What is the probability that there are at least two heads? (c) What is the probability that an odd number of heads turn out in 3 flips? (d)...
Suppose you just flipped a fair coin 8 times in a row and you got heads each time! What is the probability that the next coin flip will result in a heads? Write answer as a decimal and round to 1 place after the decimal point.
A coin that comes up heads with probability p is flipped n consecutive times. What is the probability that starting with the first flip there are always more heads than tails that have appeared?
A coin is flipped 30 times. What is the probability of getting 15 or more heads? Round answer to 4 decimal places.
Assume a fair coin is flipped 3 times. Probability of getting heads is .5..Use the normal approximation method (and relevant standard normal table) to solve by hand for the probability of obtaining 2 or more successes of getting heads in this situation. Show your work.