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Bookmark or Share- Expected Number of Coin Tosses to Get Five Consecutive HeadsA fair coin is tossed repeatedly until 5 consecutive heads occurs. What is the expected number of coin tosses?
- probability - Is tossing of a coin deterministic experimemt ...We toss with the same side of the coin upwards. If we do so, then then the outcome would be same. A 10 kg block would move with 10 m/s² acceleration when a force of 10 N is applied. Similarly, if we toss a coin applying the same torque at the same point, then the number of rotations in the air would be the same and give a consistent result.
- Combinations and Permutations in coin tossingIn this coin toss example, when we say "3 choose 2", it helps to think of the three events as not yet having a result. Only after we choose two of the three events will we give the events their heads/tails results. So doing 3C2 we get {(Event 1, Event 2), (Event 1, Event 3), (Event 2, Event 3)}. Then we assign heads to the chosen events.
- Probability of events in an infinite, independent coin-toss spaceI am studying Steven E. Shreve's Stochastic Calculus book. Example 1.1.4 (p.4-6) constructs a probability measure on the space of infinely many coin tosses $\\Omega_\\infty$. In the example the $\\sig...
- Sigma Algebra on Coin Toss - Mathematics Stack ExchangeIn your example, you want to be able to measure the probability of having at least one head. The only set you want to measure in this is now {HT, TH, HH}. When we go through this process, we obtain the σ -algebra F = {∅, {TT}, {HT, TH, HH}, {HH, HT, TH, TT} as the smallest σ -algebra that makes {HT, TH, HH} measurable. So to summarize, what ...
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