Coin Flipping
Saturday, August 13th, 2016Jack and Jill were sitting in the shade of a large tree, relaxing after attending some university lectures.
“What about flipping some coins, Jack,” suggested Jill.
“Good idea, I have a silver dollar,” offered Jack.
“Professor Wiseman suggested a coin flipping game,” said Jill. “We alternately flip a coin and the one who gets the same face as the last face to appear wins. Sound good to you?” asked Jill.
“Sure,” said Jack,“so long as I go first.”
“No problem, Jack, as always, you go first, even after I win,” smiled Jill cheerfully.
They proceeded to play quite a number of games, in which to Jack’s dismay Jill always remained on top.
What is the probability of a game finishing before the coin is flipped six times?
Why did Jill win twice as many times as Jack?