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
A biased coin is a coin that does not have an equal probability of landing on each side when flipped. For example, it may have a higher likelihood of landing on heads than tails due to an uneven weight distribution or design. This bias can be quantified, typically expressed as a percentage, indicating the probability of each outcome (e.g., a 70% chance of heads and a 30% chance of tails). Consequently, repeated flips of a biased coin will yield outcomes that reflect this skewed probability rather than the expected 50/50 results of a fair coin.
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.
You can simulate a single fair coin toss in R using the sample() function. Here’s a simple code snippet: result <- sample(c("Heads", "Tails"), 1) print(result) This code randomly selects either "Heads" or "Tails" and prints the result each time it is executed.
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.