Evaluate the following line integral. ModifyingBelow Integral from nothing to nothing With Upper C xy font size decreased by 5 d
s; C is the portion of the unit circle Bold r (s )equals left angle cosine s comma sine s right angle, for 0 less than or equals s less than or equals StartFraction 7 pi Over 6 EndFraction
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Answer:
The probability of A winning is and the probability of B winning is
.
Step-by-step explanation:
The probability of winning is <em>p</em>.
The game stops when either A or B wins.
The sample space of A winning is as follows:
{S, FFS, FFFFS, FFFFFFS, ...}
The sample space of B winning is as follows:
{FS, FFFS, FFFFFS, FFFFFFFS, ...}
Compute the probability of <em>A</em> winning as follows:
P (A winning) = P (S) + P (FFS) + P (FFFFS) + ...
Compute the probability of <em>B</em> winning as follows:
P (B winning) = P (FS) + P (FFFS) + P (FFFFFS) + ...
Thus, the probability of A winning is and the probability of B winning is
.