What is the Probability of Flipping Two Strange Coins?

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The discussion revolves around calculating the probabilities of flipping two unusual coins with adjustable head and tail probabilities. For a coin with a 70% chance of heads and another with a 20% chance, the probability of getting two heads is 14%, while the probability of two tails is 24%, leading to a combined probability of 38% for either outcome. The conversation also touches on the concept of independence in probability, emphasizing that past results do not affect future outcomes, such as rolling a die. However, participants explore the idea of streaks and the improbability of rolling the same number consecutively, noting that while rare, such occurrences are still possible in infinite trials. The discussion concludes with a reflection on the nature of randomness and the mathematical implications of probability.
  • #51
Interesting. And nice thread, this, a little bit of everything.
 

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