A and B are playing the following game.A starts and tosses a fair coin .if outcome is head.A wins.if A fails to win ,passes the coin to B,who then attempts to win on her toss as before,a win occurs if the outcome is head.they continue to toss the coin back and forth until one of them wins.what is the probability of A winning the game?
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geometric series ...
tomas suppose in his first chance itself A gets a head,he wins so there probability is 1/2 ....
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no... what if he don't?
then, we multiply or add?
s it like x+x^2+x^3+...+x^n?
H TTH TTTTH ...
tomas u can also
Tomas did a nice job, look again, the first blank is for A winning on first flip
______ or 1/2
the second blank is for A winning on the second flip
_______ 1/2 times 1/2
the third blank is for A winning on the third flip
_______ 1/2 times 1/2 times 1/2
and so on and so on ..... forever .... since it is a geometric series.....
These are really challenging questions, using probability and precalculus at the same time .... very challenging and frustrating at times
second blank should be 1/2*1/2*1/2 because
first throw: first player get tails
second throw: second player MUST get tails too, because we are searching for probability that first wons
third throw: first player gets heads
and so on
hey that is confusing
opps, thanks Tomas
yes, these are very tough questions ...
which book will help?or any approach?
do you have a textbook?
did you notice geometric series in this problem? do you know how to use them?
ya,nagar and das....nd hammond
u may explain the g.p also
some good videos on Khan Academy
i think he don't even understand what we said?
Here is a video on the second question that you asked today
Here is a video on the first question from today