Mathematics, 31.10.2019 11:31 meccadm

You win a certain game by either pushing a button once and getting a green light, or
pushing the button twice and getting either 2 green lights or exactly one red light.

the probability p > 0 of a green light on a single push is constant and three times the probability of a red light.

find the value of p for which the probability of winning is the same for either the one-push or two-push option. (show your work)

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