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Coin toss game - Probability of winning - Mathematics Stack Exchange
Question: Two players A and B, alternatively toss a fair coin (A tosses the coin first, then B, than A again, etc.). The sequence of heads and tails is recorded and if there is head followed by a tail (HT subsequence), the game ends and the person who tosses the tail wins.

Coin Toss Game (Conditional Prob) - Mathematics Stack Exchange
Two players, A and B, alternatively toss a fair coin (A goes first, then B). The game ends when there is a head followed by a tail (HT), and the person who tosses the tail wins. What is the probability that A wins?

Expected value of a coin toss - Mathematics Stack Exchange
You flip a coin. 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 is $\frac{1}{2}(2) - \frac{1}{2}(1) =0.50$ Would the expected value be 500?

MLE coin toss problem - Mathematics Stack Exchange
Coin toss problem, get exactly 2 heads in 5 tosses. 2. Coin toss bias estimation problem. 1. Probability ...

Expected Number of Flips and Probability in a Coin Toss Experiment
Since the coin is fair, the probability of getting heads or tails is 0.5. However, I'm not sure how to apply this concept when the coin is flipped until both heads and tails have appeared. For part (b), I'm a bit confused. My initial thought was that since the coin is fair, the probability that the last flip lands on heads would be 0.5.

Generating function: Probability regarding coin toss
Probability of infinite coin toss where tossing stops only if the number of heads is twice the number of tails Hot Network Questions Integral vs. vector representations of symmetric group

Calculate conditional probability with coin toss
Conditional probability - coin toss - getting 2 tails, then head in a row with unfair coins 0 When coin 1 is flipped, it lands on heads with probability .4; when coin 2 is flipped, it lands on heads with probability .7.

construction of a basic hypothesis test for a coin toss
$\begingroup$ 1) I think I got the right idea from your post and incorporated it into my original post / start of this thread - can you check this?

Central limit theorem - Coin toss - Mathematics Stack Exchange
Dependent Coin Toss 100% rigged. 1. Probability and Stats (loaded coin) 1.

probability - Mutual independence in a coin toss situation ...
$\begingroup$ Oh, yeah, like the sample space for the two-coin toss involves 8 possible compund events, of which 4 are favourable to C, so P(C)=$\frac{1}{2}$. When two heads come up, the sample space gets reduced to ${(H,H,T),(H,H,H)}$, of which only the former is favourable to C, so the probability is still two.

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