your teacher stands in front of the class and flips a coin four times what is the probability that all four clips or heads

Question

your teacher stands in front of the class and flips a coin four times what is the probability that all four clips or heads

Answer 1

P(4 heads/4 flips) = (1/2)^4 = 1/16 = 0,.0625 = 6.25% chance of all heads

1/2 chance on each flip

1/2 x 1/2 x 1/2 x 1/2 = 1/16 chance on all 4 flips

Similarly there's a 1/16 chance of all tails with 4 flips

1/8 chance of either all heads or all tails

there's 6 ways to get half heads and half tails. 6 out of 16 = 3/8 = 0.375 = 37.5% chance of half of each

That leaves 100% - 2(6.5)% - 37.5% = 50% chance of one tail & 3 heads or one head & 3 tails

or 50/2% = 25% chance of 1 head and 3 tails

and 25% chance of 1 tail and 3 heads

P(4H) = 6.25%

P(3H) = 25%

P(2H) = 37.5%

P(1H) = 25%

P(0H) = 6.25%

It adds up to 100%