Question

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?

Answer 1

geometric series ...

Answer 2

1/2?

Answer 3

tomas suppose in his first chance itself A gets a head,he wins so there probability is 1/2 ....

Answer 4

no... what if he don't?

Answer 5

then, we multiply or add?

Answer 6

s it like x+x^2+x^3+...+x^n?

Answer 7

1/2+1/2*1/2*1/2+1/2*1/2*1/2*1/2*1/2+...
H TTH TTTTH ...

Answer 8

mevereet explain

Answer 9

tomas u can also

Answer 10

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

Answer 11

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

Answer 12

hey that is confusing

Answer 13

opps, thanks Tomas

Answer 14

yes, these are very tough questions ...

Answer 15

which book will help?or any approach?

Answer 16

do you have a textbook?

Answer 17

did you notice geometric series in this problem? do you know how to use them?

Answer 18

ya,nagar and das....nd hammond

Answer 19

u may explain the g.p also

Answer 20

some good videos on Khan Academy

http://www.khanacademy.org/#browse

Answer 21

i think he don't even understand what we said?

Answer 22

Here is a video on the second question that you asked today

http://www.khanacademy.org/video/expected-value--e-x?playlist=Probability

Answer 23

any buk

Answer 24

Here is a video on the first question from today

http://www.khanacademy.org/video/compound-probability-of-independent-events?playlist=Probability

Answer 25

tomas u can help i guess

Answer 26

with what?