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Alecsey [184]
3 years ago
7

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?
Mathematics
1 answer:
mart [117]3 years ago
7 0

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

p=P(1)+P(2)\\\\p=\frac{1}{2}+\frac{1}{2}\times (1-p)\\\\

Solving for 'p' we get

p= 2/3.

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