Answer:
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.