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 ...

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.

Feb 2, 2016 · I assume each coin toss is independent. Let each of the 3600 outcomes be numbered, so that you have 3600 ...

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 ...

Coin toss probability. 1. Conditional probability - coin toss - getting 2 tails, then head in a row with ...

Dec 20, 2015 · I have difficulties constructing the normal distribution for (20) coin tosses. (Don't ask why, but I never had probability in school.) What is the probability of getting at most 12 heads out of 20

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

May 1, 2021 · Probability of an infinite sequence of coin flips having heads occurring log_2(k) times consecutively, where k is the number of flips before the run 1 Probability of getting infinitely often $\log_2(n)$ consecutive heads on fair coin tossing is equal to 1

Oct 14, 2017 · Assume that you choose point $\xi$ from $[1,4]$ in the following way. You toss a coin that can give head, tail or stood on edge with equal probabilities. If it stood on edge, then $\xi = 3$. If tail, then you going to choose $\xi$ randomly from $[1,2]$. If …

Aug 26, 2015 · Is there a way to calculate on average, the maximum amount of times we can expect a coin to land heads during 1,000 flips? So the answer (and formula if one exists) I am looking for would be somet...