Yes. Conceptually, color the interval [0,p[ as HEADS and the interval [p,1[ as TAILS, where we use [a,b[ to mean "all numbers from a, inclusive, up through b, exclusive".
Now, given an interval with two colors, divide it evenly in half. Use the fair coin to randomly pick one half. If the chosen half has only one color, that is the answer. Otherwise, use the new half as the interval, and repeat the process.
How many flips F should you expect to take? Well, at least half the time you stop immediately (end in one interval with just one color), and the other half, you need another F flips. So: F = 1 * 1/2 + (1+F) * 1/2. Multiply through by 2 and simplify to get 2 * F = 1 + 1 + F. Solving for F gives you 2 expected flips.
yes the coin is biased because it turned to heads 36 times.
The probability of heads is 0.6 and that of tails is 0.4. Since the probabilities are not 0.5, it is a biased coin. That is the answer!
If the coin is not biased, the answer is 0.375
yes it is possible by using a coin
Probability of getting a head or tail is not equal
0.63 = 0.216
Coin-tossing can simulate radioactive decay by assigning a probability of heads or tails to represent decay or stability of a radioactive nucleus. Consistent with the decay probability of a radioactive substance, you can randomly flip the coin to determine decay events over time. Over multiple throws, you can track the number of heads to emulate the decay rate of a radioactive substance.
A very-nearly perfect coin.
I may be biased, but I vote for ME. Any coin dealer who is a member of PNG or ANA has pledged to deal honestly and if complaints are filed against him he will be disciplined or lose his membership.
Possibly not - the sample of 60 times is very small.
A biased probability is one where not every outcome has the same chance of occurring. A biased coin is one where one side, the "heads" or "tails" has a greater probability than the other of showing. A coin which has a centre of gravity closer to the tails side than the heads side would be biased in that heads is more likely to show than tails. The size of coin can have an effect on the probability of heads and tails - during the Royal Institute Christmas lectures in the 1990s demonstrating probability a large version of the pound coin was made to be able to allow the audience to see it being tossed - on the broadcast (and tape) version it landed and stayed on its edge! showing the probability of heads = tails ≠ ½; the probability of heads = probability of tails, but they are actually slightly less than ½ as the coin could land on its edge and stay there - with a standard size coin, if it lands on its edge it takes very little for the centre of gravity to shift outside the base of the edge and for the coin to fall over, but with a very large similar coin (ie one scaled up [proportionally] in lengths) it can take quite a bit before the centre of gravity goes outside the base if it lands on its edge which forces it to fall over (plus there will be a "significant" rise in the centre of gravity to do so, thus favouring stability on an edge which does not exist in the standard, small, sized version of the coin).
28 times out of 50 as a percent is achieved thus (28/50)*100 = 56% (The coin would appear to be biased by the way).