Math and Arithmetic
Probability

# If you flip a a coin 20 times what is the probability that the coin will land on heads?

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There is a fifty percent chance of the coin landing on "heads" each time it is flipped.

However, flipping a coin 20 times virtually guarantees that it will land on "heads" at least once in that twenty times. (99.9999046325684 percent chance)

You can see this by considering two coin flips. Here are the possibilities:

Tails, tails.

You will note in the tossing of the coin twice that while each flip is fifty/fifty, that for the two flip series, there are three ways that it has heads come up at least once, and only one way in which heads does not come up.

In other words, while it is a fifty percent chance for heads each time, it is a seventy five percent chance of seeing it be heads once if you are flipping twice.

If you wish to know the odds of it not being heads in a twenty time flip, you would multiply .5 times .5 times .5...twenty times total. Or .5 to the twentieth power.

That works out to a 99.9999046325684 percent chance of it coming up heads at least once in the twenty times of it being flipped.

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## Related Questions  The probability of the coin flip being heads or tails is 100%. The probability that a single coin flip will come up heads is 0.5.  50%. there are only 2 choices heads or tails and that doesn't change no matter how many times you flip the coin There are two sides to the coin, so the probability of getting heads or tails on one flip of the coin is 1/2 or 50%. The probability of a flipped coin landing heads or tails will always be 50% either way, no matter how many times you flip it.  Each time you flip a coin, the probability of getting either heads or tails is 50%. Flip a coin 1000 times, counting the number of 'heads' that occur. The relative frequency probability of 'heads' for that coin (aka the empirical probability) would be the count of heads divided by 1000. Please see the link. The probability on the first flip is 50% .The probability on the 2nd flip is 50% .The probability on the 3rd flip is 50% .The probability on the 4th flip is 50% .The probability of 4 heads is (50% x 50% x 50% x 50%) = (0.5)4 = 1/16 = 6.25% If it is a fair coin, the probability is 1/4.If it is a fair coin, the probability is 1/4.If it is a fair coin, the probability is 1/4.If it is a fair coin, the probability is 1/4. You collect data. Flip a coin 100 times, you get 49 heads and 51 tails, so the probability of H is 0.49. You still still have a 1:2 chance of getting heads regardless of the times you flip. The probability of getting all heads if you flip a coin three times is: P(HHH) = 1/2 &#8729; 1/2 &#8729; 1/2 = 1/8. The probability of getting all tails if you flip a coin three times is: P(TTT) = 1/2 &#8729; 1/2 &#8729; 1/2 = 1/8. The probability of getting all heads or all tails if you flip a coin three times is: P(HHH or TTT) = P(HHH) + P(TTT) = 2/8 = 1/4. The probability that the coin will land on heads each time is 1/2. (1/2) to the tenth power is 1/1024. This is the probability that the coin will not land on heads. Subtract it from one to get the probability that it will : 1-(1/1024)There is a 1023/1024 or about 99.90234% chance that the coin will land on heads at least once.(There is a 1/1024 chance that the coin will land on heads all four times.) The probability of each coin flip, independently, is 0.5 or 50%. The probability of getting one result (either heads or tails) four times in a row is 0.5 to the fourth power or 0.0625, which equals 6.25% If it is a fair coin, the probability is exactly 50%. The coin has no memory of what it did in the last flip. &#9632; There is the probability of 1/2 if it is a fair coin. There is the probability of 1 if it is a double-headed coin. There is the probability of 0 if it is a double-tailed coin. The probability of getting a heads on the first flip is 1/2. Similarly, the probability on each subsequent flip is 1/2, since they are independent events. The probability of several independent events happening together is the product of their individual probabilities. I f you flip the same coin 5 times in a row, chances are 1/32 ( 1/2 each flip multiplied 5 times) Ans: 1 in 32 For 3 coin flips: 87% chance of getting heads at least once 25% chance of getting heads twice 13% chance of getting heads all three times 1/8. The probability of flipping a coin three times and it landing on head is 1/2, as a coin only has two sides. You flip a coin three times, therefore the answer is (1/2)^3 = 1/8. The probability that the coin lands on the heads ones: 1/2Two times (1/2)^2 = 1/4Five times (1/2)^5 = 1/32 (so 1 in 32 attempts)n times (1/2)^n The flip of a fair coin is 0.5 heads and tails, so you want the probability of head &amp; head. This probability of garlic, garlic two consecutive tosses is 0.5 * 0.5 = 0.25.

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