Suppose you and a friend are flipping a coin each time it la

Suppose you and a friend are flipping a coin; each time it lands Heads up you get a point, while your friend gets a point when it lands Tails up. The winner is the first person to get to six points. If you’ve flipped the coin seven times already, with four Heads and three Tails, show that your probability of victory is 11/16.

Solution

probability of my victory was= 4c1/14c1

i will get a point when the coin lands heads up.= 4c1

totollay the coin was tossed for 7 times which consits of headswhich consists of heads and tails = 14c1