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.

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 $1/2$.

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.

Jan 22, 2019 · $X$ is a random variable that equals the number of heads. $E(X)$ is the expected value of the number of heads when a coin is tossed $n$ times, so since $P(X)= 0.5, E ...

Dec 9, 2016 · 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.

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

May 24, 2024 · In one of his interviews, Clip Link, Neil DeGrasse Tyson discusses a coin toss experiment. It goes something like this: Line up 1000 people, each given a coin, to be flipped simultaneously; Ask each one to flip if heads the person can continue; If the person gets tails they are out; The game continues until 1* person remains

Aug 7, 2017 · For a single coin toss, you will also need to indicate what are you counting as a success, ...

Jul 13, 2018 · For example, consider tossing a coin twice, and we are interested in finding the probability such that there is at least one head. So, surely $\Omega = (HH, HT, TH, TT)$. But what about $\mathcal{F}?$ One straight forward option is power set, but I am interested in "smallest" part of $\sigma-algebra$ which seems to come very handy in ...