a girl has one gummy bear in her hands, and a bowl of them on the table. she tosses a coin 6 times. if she gets heads, she takes a gummy bear from the bowl and if she tosses tails, she puts one back into the bowl. the deal is that if she ever has more than 1 gummy bear, the game immediately ends and she gets none at all; and if she ever tosses tails when she has no gummy bears, the game immediately ends and she gets none at all. what is the probability that she makes it to the end of the game and gets to keep her gummy bear?

Question

anonymous · Answer

50%?

anonymous · Answer

how is it 50% though?

anonymous · Answer

a coin has only 2 sides.. no matter how many times you tossed it, there is only 50% of getting the head or tail..

anonymous · Answer

mertj come back to the question pls theres something wrong

anonymous · Answer

i don't know if its 50%. i got 1/64 because only one combination of 6 fits it to where she keeps the gummy bears: THTHTH

amistre64 · Answer

im thinking it would be the percentage of getting any combo of ttthhh; multiplied by the percentage of getting the result ththth from that set .... just a hunch

anonymous · Answer

but why would you think that though?

anonymous · Answer

i don't think it is the percentage of that because you start off with one bear and if you tails it you take one away and tailing it again will leave none, which will end the game and leave the girl with none. thus, not providing the answer