Suppose that two teams are playing a series of games, each of which is independently won by team a with probability p and by team b with probability . the winner of the series is the rst team to win four games. find the expected number of games that are played, and evaluate this quantity when p = 1=2.

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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step-by-step explanation: