Two players, a and b, alternately and independently flip a coin and the firstplayer to obtain a head wins. assume player a flips first.1. if the coin is fair, what is the probability that a wins? 2. suppose that p(head) = p, not necessarily 12. what is the probability that a wins?

Probability that A wins is 2/3.

Step-by-step explanation:

player A can win in 2 ways

1) Player A wins immediately by getting head

2) Player A loses immediately by getting tail but wins ultimately as player B gets losses.

a) Probability of 1 to happen is 1/2.

b) Similarly for the event 2 to happen the condition is that A get's a tail and B losses.

Let probability that A wins is 'p' thus we have

Solving for 'p' we get

p= 2/3.