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1 there are two possibilities for each of the five tosses of the coin, so there are $2^5 = 32$ possible outcomes in your sample space, as you found Strategies so far 70% chance of winning by @jaap scherphuis What is the probability that heads never occurs twice in a row

Your proposed answer of $13/32$ is correct. A 70% chance of winning has been found on my puzzling stackexchange duplicate post The probability of a coin landing heads ten times in a row is.0009765625

There are 7,000,000 people on the planet

Each person can flip a coin 17280 times a day If every person on the planet flips coins until one person gets ten heads in a row, how long will it take to get the 10 heads in a row? A coin is flipped eight times where each flip comes up either heads or tails How many possible outcomes a) are there in total

B) contain exactly three heads C) contain at least three heads Two players alternately flip a coin What is the probability of winning by getting a head

Ask question asked 13 years, 10 months ago modified 3 years, 1 month ago

A participant is allowed to ask 1 yes or no question (e.g Was the first coin flip heads?), then plays a game where he tries to guess all 100 coins The participant is awarded $\$1$ for every coin guessed correctly, and loses $\$1$ for each incorrect guess. If you get heads you win \\$2 if you get tails you lose \\$1

What is the expected value if you flip the coin 1000 times I know that the expected value of flipping the coin once i. Suppose you flip a fair coin repeatedly until you see a heads followed by a tails What is the expected number of coin flips you have to flip

By manipulating an equation based on the result of the f.

Assume that you are flipping a fair coin, i.e Probability of heads or tails is equal Then the expected number of coin flips required to obtain two consecutive heads for the first time is (a)4 (b)3 (c)6 (d)10 (e)5 i worked up like let n be the number of tosses required untill 2 consecutive heads are obtained for the first time.

A sees a tail on coin flip 2 and 4 so he picks 3, b does the same After running this on a computer simulation i get a 60% winrate Although i don't fully understand why

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