2-Sided Coin Toss Experiment

A 2-Sided Coin Toss Experiment is a k-sided coin toss experiment where k=2 (with symbols {H,T}).

• AKA: Coin Flipping.
• Context:
  • It can be a Binomial Experiment (it has Sample Space of Two Random Experiment Outcomes in the Outcomes are Independent).
  • It can range from being an Unbiased Coin Toss Experiment to being an Biased Coin Toss Experiment.
  • It can be associated with a Coin Toss Trial (e.g. {{H,T,H}, {H,T,T}, {T,T,H})
• Example(s):
  • Toss a coin one time, with:
    • Sample Space={{H},{T}}.
    • Event Space={{},{H},{T},{H,T}})
  • Toss a coin two consecutive times, with:
    • Sample Space={(H,H),(T,T),(H,T),(T,H)}
    • Event Space={{},{(H,H)},{(T,T)},{(H,T)},{(T,H)},{(H,H),(T,T)},{(H,T)(T,H)} … {(H,H),(T,T),(H,T),(T,H)} with 2⁴ Events.
  • Toss a coin three consecutive times, with:
    • Sample Space with 8 possible Outcomes.
    • Event Space with 256 possible Events.
  • …
• Counter-Example(s):
  • a Sequential Random Experiment, such as: Toss a coin two consecutive times, and roll a dice two times.
  • a Dice Roll Experiment.
• See: Card Draw Experiment.

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References

2009

• (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Coin_flipping
  • Coin flipping or coin tossing is the practice of throwing a coin in the air to resolve a dispute between two parties or otherwise choose between two alternatives. It is a form of sortition that by nature has only two possible outcomes.

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