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Answered 2014-09-10 12:23:27

The answer depends on "the outcome is heads HOW MANY TIMES!"

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It means that if the coin were tossed an infinite number of times, half of the tosses would come up heads and half would be tails.

The probability of 10 heads in a row is (0.5)10 = 0.000977 = 0.0977% .It makes no difference what has come before or what comes after.

If you toss a coin 8 times and there are 7 heads, then there must be one tail each time. So how many ways can we get one tail? It can occur first, such as THHHHHHH or second HTHHHHHH etc. There are 8 places to put the T so there are 8 ways to have 7 heads and 1 tail.

The probability that a single coin flip will come up heads is 0.5.

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:Heads, heads.Heads, tails.Tails, tails.Tails, heads.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.

3/4 The only way a tail doesn't show up is if all heads come up. P(all heads) = (1/2)*(1/2)=1/4 P(at least one tail)=1-P(all heads)=1-(1/4)=3/4

There is a .25 chance that no heads will come up. (1/2*1/2=.25) Therefore, there is a .75 chance that one or more heads will come up. Value of game = .75*$2-.25*$4=$1.5-$1=$.50 Over time, you should come out ahead.

If it is a fair coin then the probability is 0.5

The odds of flipping a coin and having it come up heads three times in a row is (1/2)*(1/2)*(1/2)=(1/8) or 12.5% ■

It is the theory of what might happen, but not actually what happens. In theory, if you spin a coin 100 times, it should come up on heads 50 times, as there is a 1 in 2 chance of you getting heads on each spin. If you actually do spin a coin 100 times, the total of heads is the experimental probability, so what you actually get. That may not be 50. It is likely to be close to 50 though.

Assuming: (a) the coin is fair (each side is the same exact weight) (b) the chance of the coin landing in its side is eliminated (c) the coin is not acted on by any forces such as magnetism The chance of the coin displaying heads is 50%, or 1/2.

This is a good bet to take. Your expected payout is 0.5 each round of the 2 tosses. The possible outcomes from 2 tosses: HT, HH, TT, TH. The probability that heads comes up is 3 in 4 (.75). The probability that heads does not come up is 1 in 4 (.25). Your expected payout is: (2 * .75) + (-4 * .25) = 1.5 - 1 = 0.5

50% Every time you flip a coin, there is a 50% chance it will come up heads and a 50% chance it will come up tails, no matter how many times you have already flipped it, and no matter what the results were of previous flips.

Experimental probability is the number of times some particular outcome occurred divided by the number of trials conducted. For instance, if you threw a coin ten times and got heads seven times, you could say that the experimental probability of heads was 0.7. Contrast this with theoretical probability, which is the (infinitely) long term probability that something will happen a certain way. The theoretical probability of throwing heads on a fair coin, for instance, is 0.5, but the experimental probability will only come close to that if you conduct a large number of trials.

Probability determines likely outcomes, not what will happen every time. For instance, if you tossed a coin, the probabilty of coming up heads or tails is even, but there is also a vanishingly small possibility that it wil land on its edge.If you only tossed the coin once, and it came up heads, you could not infer from that result that "if I toss a coin, it will come up heads." The next 10 tosses of the coin might come up heads, but if the experiment is run enough times, a roughly equal number of heads and tails would be observed.This is true of any probability experiment. In biological experiments especially, because we are dealing with the unpredictability of living organisms, a watershed has to be determined, below which we can say with reasonable certainty that the probability of a particular outcome is less than, say 0.5%.If you imagine a bell, the edges flare out, and it rises steeply to a shallow curve at the top. If we place the results of our repeated experiments under that bell, most will fit somewhere under the shallow part of the curve, with the results falling of rapidly to approaching 0 as the values move down to the flare. With just 1 or 2 results, it would be easy to get a distorted picture of a likely outcome.

Many people believe that a fair coin which has come up heads seven times is more likely to come up tails on the eighth flip. This is a superstitious belief, since it has no basis either in observation or rational deduction. (And it is also untrue).Almost as many people are willing to believe that a coin which has come up heads seven times is more likely to come up tails on the eighth flip, because it has settled into a pattern.A few robust souls even hold both these beliefs simultaneously.

The chances are always the same:1/2. Sp it really depends on your luck, because if you flip a coin 100 times, it doesn't necessarily mean that tails will come up 50 times. According to the Law of Large Numbers, as the number of times you flip a fair coin approaches infinity, the proportion of tails will approach 0.5 (as will that of heads).

Getting heads is just as likely as getting tails. So the expected number of each is even. There are no other possibilities so you should expect 5 of each. Naturally, if you actually flip a coin 10 times, it may come out 6/4, 4/6, 7/3 or even 10/0, but 5/5 is the most likely outcome.

The outcome space is TT, TH, HT, HH: 4 outcomes in all. {One head} = {TH, HT} with prob = 2/4 = 1/2 {No heads} = {TT} with prob 1/4 So E = 2*Pr(one H) - 4*Pr(no H) = 2*(1/2)-4*(1/4) = 1 - 1 = 0

The side heads is slightly heavier giving it a greater likely hood of landing on tails.

Yes, they cannot happen at the same time. If you flip a coin heads and tails can not come up at the same time.

9/16Answer:There are 16 possible outcomes. The criteria (at least two heads) are met if the coins come up in any one of 11 different ways:One way with four heads: HHHHFour ways with three heads: HHHT, HHTH, HTHH, THHHSix ways with two heads: HHTT, HTHT, THHT, THTH, TTHH, HTTHThis would make the probability 11/16

Not really. The theory(that if you have some process that can come out in multiple ways, then, over a long period of tests, the results will be about even if each of the possible outcomes has an equal chance of occurrence isn't literal. If you do flip the coin many more times, then the results will gravitate towards an even amount of occurrences, although it is unlikely for to be split perfectly evenly.