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If you get heads 100 times does your odds of getting tails increase?
11 Answers
- husoskiLv 74 months agoFavorite Answer
If you meant 100 heads in 100 consecutive tosses, you have a better chance of the Powerball lottery getting exactly the same 5+1 numbers on each of four consecutive games than getting those 100 heads with a fair coin and toss.
The only sensible conclusion is that the coin is bogus or the toss is rigged (or both).
If the probability of heads on each toss is p, the probability of 100 consecutive heads is p^100. For that to equal, say, 0.001 so that you had a 1 in 1000 chance of getting those 100 heads right away, then
p^100 = 0.001
100 log p = -3 [base ten logarithms]
log p = -0.03
p ~~ 0.977
1 - p ~~ 0.023
The probability of getting tails on any give toss is about 2.3%.
- PhilomelLv 74 months ago
No, the odds of a coin flip are not determined by past history. They are 50% for each flip.
Dice have the same relationship but may be skewed by physical imperfections of the die.
Coin flips may also be skewed by imperfections but are usually disregarded by everyone except NASA. This is why a NASA nickle costs $3000.
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- az_lenderLv 74 months ago
No. If anything, your odds of getting tails decreases, because you are probably dealing with an "unfair" coin !!
- MorningfoxLv 74 months ago
No, it doesn't change just because you flip the coin. It's still the same coin before and after, isn't it? If you get heads 100 times in a row, you should consider that the coin is fake.
- PuzzlingLv 74 months ago
Believing that the odds are dependent on prior outcomes would be the gambler's fallacy.
Answer:
No, assuming it is a fair coin, it is still 50:50 odds.
- ?Lv 54 months ago
No. Each flip of a coin has a 50/50 chance regardless of any previous flips. Each flip is completely independent of the others.