if you flip a coin six times, what is the percentage that it will be heads more than it will be tails?

Question

meaning that the coint will be heads at least 4 of the 6 times?

Answer 1

When you filp the coin it is a 1:1 toss therefore it will be heads 3 times and tails 3 times out of those 6. That is what the odds are.

Answer 2

Because of symmetry it is 1/2 the probability that you do not get three heads and three tails.

P(H > 3) = (1/2)[1 - P(H = 3)] = (1/2)[1 - (6C3)(1/2)^6]

P(H > 3) = (1/2)[1 - 20/64] = (1/2)(44/64) = 22/64

P(H > 3) = 11/32 = 0.34375

Answer 3

(0.5+0.5)^6
p = (6C0+6C1+6C2).5^6 = .34375
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A different way is
(1 - 6C3*0.5^6)/2 = .34375