Mathematics, 06.04.2021 04:10 cxmochaa
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 $4 if it is heads. Continue in this fashion for a total of 10 flips of the coin, after which you receive nothing if it comes up tails. What is the mathematical expectation for this game?
Answers: 1
denotes the winnings on the 
toss.
![$=\frac{n}{2}[2a+(n-1)d] $](/tpl/images/1241/0252/17d5e.png)
![$=\frac{10}{2}[2\times \frac{1}{2}+(10-1)\times 0] $](/tpl/images/1241/0252/36f87.png)
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Suppose you toss a coin and will win $1 if it comes up heads. If it comes up tails, you toss again....
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