May 8, 2015 · 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.

Dec 29, 2023 · 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?

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?

Apr 5, 2018 · Two people decided to play a coin toss game. The rules of the game are: (i) Everyone plays 2 times in sequence; (ii) the first to obtain two head wins; Suppose that the two individuals names are A and B. A starts play the game and throw a coin twice times and after that B throw the coin twice and so on, the first obtain two head in sequence wins.

The problem can be mapped on a one-dimensional discrete random walk.Imagine that you start at 0 and you make a step +1 (for the outcome HT) with probability $1/4$, a step -1 (for the outcome TH) with probability $1/4$, and a step 0 (for the outcomes TT and HH) with probability $1/2$.

May 15, 2024 · 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.

Jan 15, 2018 · Dependent Coin Toss 100% rigged. 1. Probability and Stats (loaded coin) 1.

For instance, HHT indicates that the coin landed with a head up on the first two tosses and a tail up on the third. a) List all the possible outcomes of the sample space. b) Write each of the following events as a set and find its probability.

Jan 9, 2019 · Coin toss problem, get exactly 2 heads in 5 tosses. 2. Coin toss bias estimation problem. 1. Probability ...

Jan 29, 2019 · The last case is if you toss HH, you get two more tosses which gives you a favorable outcome of (HHTH, HHHT, HHTT, HHHH} out of $2^4=16$ ways it can play out. Thus it is for a prob of $\frac{1}{16}$ you get two heads (HHTT), and for a prob of $\frac{2}{16}$ you get three heads and for a prob of $\frac{1}{16}$ , you get four heads.