reneau34

avatar
Usernamereneau34
Score6
Membership
Stats
Questions 0
Answers 3

 #1
avatar+6 
0

   DinarGuru

To solve this problem, we can start by listing all the possible outcomes of flipping a fair coin two times:

HH (two heads)

HT (one head, one tail)

TH (one tail, one head)

TT (two tails)

We can then calculate the length of the longest run for each outcome:

HH: The longest run is 2.

HT: The longest run is 1.

TH: The longest run is 1.

TT: The longest run is 2.

Therefore, the expected length of the longest run is the average of the longest runs for each outcome:

Expected longest run = (2 + 1 + 1 + 2) / 4 = 1.5

So the expected length of the longest run when flipping a fair coin two times is 1.5.

Feb 20, 2023