flipping

  1. S

    Flipping between p-adics and reals

    Let x\in \mathbb{Q}_p. We can represent x by the p-adic series x=\sum_{n\ge k}a_np^n, k,a_n \in \mathbb{Z}, 0\le a_n < p. Define f_p:\mathbb{Q}_p \to \mathbb{R} by f_p(x) = \sum_{n \le -k}a_{-n} p^{-n-1} (essentially flipping the digits across the decimal point). Define the relation \sim by...
  2. M

    Flipping coin

    We flip a a biased coin 100 times. p=probability of head q=1-p= probability of tail. Let us call the longest run of heads LH and the longest run of tails LT. We define a random variable X=min(LT,LH) and Y=LH+LT. What are the probability laws of X and Y? Thank you for any help. Ps : It is not a...
  3. Maxim

    Expected number of turns in single player coin flipping game

    Similar to my other topic, again I play a coin flipping game. This time I start with zero points. I repeatedly flip a coin. Heads = I get one point, tails = I lose one point. My score can also be negative. Question: what's the expected number of turns I have to take, to reach 3 points?
  4. Maxim

    Probability and expected number of turns in coin flipping game?

    Suppose we play a coin game: we flip a coin, upon tails you get one dollar from me, upon heads I get one dollar from you. We repeat this until one of us is broke. Now, at the beginning of the game, I have $4 and you have $6. 1. What is the chance of me winning the game? (thus ending up...
  5. M

    Flipping coins

    I'm trying to write out the following Bernoulli Space events in terms of E_n \Omega = \{ \omega = \omega_1 \omega_2 \omega_3 \ldots : \omega_n = 1,0 \} (i) exactly 2 heads are obtained. E_x=\{ \omega \in \Omega : \omega_x=1 \} E_y=\{ \omega \in \Omega : \omega_y=1 \} E_z= \{\omega \in...
  6. A

    tricky biased coin flipping question

    I'm having trouble with the following question; "A biased coin is tossed until more heads then tails appear. The coin is biased such that it lands on heads with probability 2/3 and tails with probability 1/3 What is the expected number of flips and the variance?" Any help would be...
  7. A

    Flipping Heads Consecutively

    What's the probability of flipping n consecutive heads on a fair coin? What about an even number of consecutive heads? For the first one, I simply got (1/2)^n, is this correct? How will I solve the second? Any hints? There could be infinite number of arrangements as there are infinite...
  8. B

    probability/combination flipping a coin.

    question is, If you flip a coin 5 times what is the probability of getting 4 heads, and 1 tails? total number of outcomes is 2^5 because you flip a coin there are to possible outcomes 5 times. Since there is no order it is a combination *this is where I am confused* I thought when you have two...
  9. manyarrows

    flipping the inequality sign

    When working with inequalities, what are the rules for flipping the ineqaulity sign around when you move the variable around. I know when dividing by a negative we flip. Do we flip the sign around so that it is always oriented with the same orientation it began as. Since the variable could be...
  10. T

    flipping number question..

    what is the math formula(algorithm) for flipping any number like: 47->74 1655 -> 5561 12345->54321 1190 -> 911 ??
  11. T

    Probability: Flipping A Coin...

    Each day Alice and Bob flip a coin to see who buys coffee ($1.20 a cup). Bob flips and Alice calls the outcome. If the person who calls the outcome is correct, the other buys the coffee;otherwise the caller pays. (a) Determine Alice’s expected winnings if a fair coin is used and she calls the...
  12. C

    Flipping 10 coins

    Say that a coin is flipped 10 times. What is the probability that the first 3 flips are all heads provided that there are an even number of heads and tails all together? - I understand that if we simply flip 3 coins, the probability that 3 heads appear is 1/6. How do we take into account the...
  13. 2

    Help with Probability flipping a quarter!!!!

    So here is the problem. Maybe someone can help me. Thanks ahead of time anyone. John and Judy play a game of flipping a quarter. If it comes up heads, John gets a point and if it comes up tails, Judy gets a point. They each bet $5 to play and the first person to get ten points wins the whole...
  14. Quick

    Flipping Coins

    There is a gambling game that goes like this, you place a $5 bet to begin with. A coin is then flipped until it flips tails (or the house maximum of x flips). Each time it lands on heads the house pays an amount equal to $1 times the number of consecutive flips, for example, land three heads in...