)two players, a and b, alternatively and independently toss a coin and the first player to obtain a head wins. assume, player a tosses first and that p(‘head’) = p. (a) what is the probability that a wins? (b) show that for all p ∈ (0, 1), p("a wins") > 1/2.

Answer with Step-by-step explanation:

Part a)

Player A wins as follows:

1) He wins during the first toss itself.

2)Player A losses and then Player B also losses his turn and Player A wins subsequently

Probability of event 1 is 'p' (Given)

thus we have

Part b)

We have

Thus for least value put p = 0

Thus

step-by-step explanation:

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in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.