math
posted by brianne
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?

Damon
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
Respond to this Question
Similar Questions

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 … 
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 … 
math
A student claims that if a fair coin is tossed and comes up heads 5 times in a row, then, according to the law of averages, the probability of tails on the next toss is greater than the probability of heads. What is your reply? 
biology
If you toss a coin and it comes up tails on eight consecutive tosses, what is the likelihood it will come up heads on the ninth toss? 
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? 
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? 
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 
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 doubleheaded (i.e., both sides are Heads), and the last one is doubletailed (i.e., both sides are Tails). She … 
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 doubleheaded (i.e., both sides are Heads), and the last one is doubletailed … 
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 = …