math

Suppose you toss a coin and it you win a dollar if it comes up heads. If it comes up tails you toss the coin again. This time you get two dollars if it is heads. If it is tails you toss it again. This time you win four dollars if it is heads, but if it is tails you toss it again. Continue in this fashion fora toatl of 10 flips of the coin, after which you get nothing if it is tails. What is the mathematical expectation for this game?

asked by brianne
  1. probability of winning one dollar = .5
    of $2 = .5*.5* = .25
    of $3 = .5^3
    of $4 = .5^4
    so E = .5*1 + .25*2 + .125*3 ..... .5^10 *10

    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Suppose you toss a coin and will win $1 if it comes up heads. If it comes up tails, you toss again. This time you will receive $2 if it comes up heads. If it comes up tails, toss again. This time you will receive $4 if it comes up
  2. MATH

    Suppose you toss a coin and will win $1 if it comes up heads. If it comes up tails, you toss again. This time you will receive $2 if it comes up heads. If it comes up tails, toss again. This time you will receive $4 if it comes up
  3. math

    a fair coin is tossed in the air 4 times. if the coin lands heads up the first three tosses, what is the probability the coin will land heads up the fourth toss? I think it is 1/2 because the coin has 2 sides and 50% it will land
  4. probability

    Adefective coin minting machineproducescoinswhoseprobability ofheadsisarandomvariable P with PDF 1+sin(2πp), if p ∈ [0,1],fP (p)= 0, otherwise. Inessence,aspecificcoinproducedby thismachinewillhavea fixedprobability P =
  5. probability

    urgent till 3 pm i have in colombia¬° 1 Alice has five coins in a bag: two coins are normal (i.e., fair with one face Heads and the other face Tails), two are double-headed (i.e., both sides are Heads), and the last one is
  6. Probability

    Alice has five coins in a bag: two coins are normal (i.e., fair with one face Heads and the other face Tails), two are double-headed (i.e., both sides are Heads), and the last one is double-tailed (i.e., both sides are Tails). She
  7. algebra

    A coin is tossed 3 times. Find the probability of obtaining the following: a) heads on the first and last toss, and tails on the other toss b) at least 2 heads c) at most 2 heads
  8. math

    In a game, a player tosses a coin 4 times. If the player gets 3 or 4 heads, he/she wins. What is the theoretical probability of winning this game? I just need to know the outcomes. I don't know how to get them. Please and Thank
  9. science

    If you toss a coin five times and it lands heads up each time, can you expect the coin to land heads up on the sixth toss? Explain. Please help! Thanks!
  10. Stat.

    A trick coin has been weighted so that heads occurs with a probability of p  2 3, and p(tails)  1 3. If you toss this coin 72 times, a. How many heads would you expect to get on average? b. What is the probability of getting

More Similar Questions