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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 Ask question asked 13 years, 9 months ago modified 3 years ago What is the probability that heads never occurs twice in a row

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Your proposed answer of $13/32$ is correct. What is the probability of winning by getting a head We get to make exactly two flips before making a guess as to which coin is biased

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. 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? 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.

I understand the formulae for combinations and permutations and that for the binomial distribution However, i'm confused about their application to coin tossing 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 The writer then must be able to find a 'neighboring' board state (one that only differs from the initial board state by the flip of one coin) whose projection gives the correct square for any initial board state Row and column sums came to me as natural forms of projections, and the rest of the solution fell out from there.

Two players alternately flip a coin