Answer :
The expected number of flips until the first time that your previous 2012 flips are HTHT is = 4096
According to the information given in the question,
- A coin is flipped repeatedly until the first time that the previous flips are made in 2012 is HTHT.
- We have to find the expected number of flips made to get 2012 flips that are making HTHT.
- If we talk about a coin, a coin is having a 50 % probability to get either heads or tails.
Now to calculate the chances of getting HTHT for the first time will be,
E(x) = n × p
Where E(x) = the expected number of flips.
n = number of flips.
p = Probability of getting HTHT
Given,
n = 2012
p = ( [tex]\frac{1}{4096}[/tex] )
E(x) = 4096
Therefore, the expected number of flips until the first time that your previous 2012 flips are HTHT is = 4096
To know more about probability,
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You are repeatedly flipping a fair coin. what is the expected number of flips until the first time that your previous 2012 flips are HTHT ...?you are repeatedly flipping a fair coin. what is the expected number of flips until the first time that your previous 2012 flips are HTHT ...?
