Emberhart100 000 Years to Coinflip 1/10
What if we keep trying? Not a sure win—that’s impossible—but just a coin flip, a 50–50 chance. 🎯
#Emberhart #CoinFlipOdds #LongGame
100 000 Years to Coinflip 2/10
Buy 5 tickets every Christmas. Do it year after year. The question becomes: how long until there’s a 50% chance of winning at least once? ⏳
#CumulativeProbability #TryingAgain #MathLimits
100 000 Years to Coinflip 3/10
Using cumulative probability, the chance of never winning over n years is (0.999995)ⁿ. The math starts here. 🧮
#ComplementRule #NoSureWins #RiskMath
100 000 Years to Coinflip 4/10
Set the probability of “no wins” to 50%. That means the probability of winning at least once is also 50%. ⚖️
#FiveTickets #AnnualPlay #ProbabilityCurve
100 000 Years to Coinflip 5/10
Solve it with logarithms and you get the answer: about 138,629 years of buying 5 tickets per year. 📐
#Logarithms #FiftyPercent #TimeScale
100 000 Years to Coinflip 6/10
That’s how long it takes to reach a coin flip. So no—jackpots are not coming anytime soon. ⌛
#HundredThousandYears #JackpotReality #PatienceTest
100 000 Years to Coinflip 7/10
What if we only give it 20 years? To reach 50% in that time would require ~34,657 tickets per year. 💸
#TwentyYearPlan #CapitalIntensity #EuroMath
100 000 Years to Coinflip 8/10
That’s over €170,000 per year—chasing a €250,000 prize. Smaller wins don’t fix the math. 📉
#SmallPrizes #LawOfLargeNumbers #ExpectedReturn
100 000 Years to Coinflip 9/10
Including second-tier prizes helps a bit: odds improve to 1 in 40,000 with 5 tickets—but they’re still poor. 🎲
#SecondTierPrizes #ImprovedOdds #StillUnlikely
100 000 Years to Coinflip 10/10
The conclusion is simple: the odds are not in our favor. Fun? Maybe. Sensible math? Not really. 🎄
#EmberhartPodcast #EmberhartJourney #HolidayReflection