red or black card game probabilities

Question

I've been working on an assignment, could someone let me know if it's right? These are the probabilities of a game of red or black with cards, with 8 rounds. (I'm a bit unsure about the last one.)

P(guessing correctly once) = 26/52 or ½ (50% / equally likely)

P(guessing correctly twice) = (½ × ½) = 1/4 (25% or unlikely)

P(guessing correctly 3 times) = (1/2³) = 1/8 (12.5% or unlikely)

P(guessing correctly 4 times) = (1/2⁴) = 1/16 (6.25% or unlikely)

P(guessing correctly 5 times) = (1/2⁵) = 1/32 (3.125% or unlikely)

P(guessing correctly 6 times) = (1/2⁶) = 1/64 (around 1.56% or unlikely)

P(guessing correctly 7 times) = (1/2⁷) = 1/128 (around 0.78% or unlikely)

P(guessing correctly 8 times) = (1/2⁸) = 1/256 (around 0.39% or unlikely)

P(guessing none correctly) = also 1/256 because the probability of getting all correct is the same as getting all incorrect

Answer 1

Yes, you are all correct, including the last one.