Search results
Results From The WOW.Com Content Network
The three-way flip is 75% likely to work each time it is tried (if all coins are heads or all are tails, each of which occur 1/8 of the time due to the chances being 0.5 by 0.5 by 0.5, the flip is repeated until the results differ), and does not require that "heads" or "tails" be called.
A test is performed by tossing the coin N times and noting the observed numbers of heads, h, and tails, t. The symbols H and T represent more generalised variables expressing the numbers of heads and tails respectively that might have been observed in the experiment. Thus N = H + T = h + t.
The outer coin makes two rotations rolling once around the inner coin. The path of a single point on the edge of the moving coin is a cardioid.. The coin rotation paradox is the counter-intuitive math problem that, when one coin is rolled around the rim of another coin of equal size, the moving coin completes not one but two full rotations after going all the way around the stationary coin ...
If one penny is heads and the other tails, Odd wins and keeps both coins. Matching pennies is a non-cooperative game studied in game theory. It is played between two players, Even and Odd. Each player has a penny and must secretly turn the penny to heads or tails. The players then reveal their choices simultaneously.
Player A selects a sequence of heads and tails (of length 3 or larger), and shows this sequence to player B. Player B then selects another sequence of heads and tails of the same length. Subsequently, a fair coin is tossed until either player A's or player B's sequence appears as a consecutive subsequence of the coin toss outcomes. The player ...
Spinner spins a pair of tails before a pair of heads or odding out. 5 Odds 9.375% 28–1 Spinner spins five odds in a row ("odding out") before either a pair of heads or a pair of tails. Spinner's Bet 3.400% 15–2 Only available to the current spinner. The spinner attempts to spin either three pair of heads or three pair of tails, and will win ...
Maybe you should repeat that experiment, and again flip a coin three times. But you could still get heads (or tails) every time. However, if you flip a coin a hundred times, you will likely get about 50 heads and 50 tails. And if you flip a coin a thousand times, you will very likely get about 500 heads and a similar number of tails.
In the heads scenario, Sleeping Beauty would spend her wager amount one time, and receive 1 money for being correct. In the tails scenario, she would spend her wager amount twice, and receive nothing. Her expected value is therefore to gain 0.5 but also lose 1.5 times her wager, thus she should break even if her wager is 1/3.