Theoretical Probabilities

Question

What is the probability of getting all heads when you toss 4 fair coins?

(Enter as a decimal rounded to the nearest thousandth.)

Answer 1

if you toss 2 coins you get...

HH

HT

TH

TT

if you toss 3 coins you get...

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

if you toss 4 coins you get 16 permutations... (each of these gets an H or a T next to it)

HHHH

HHHT

HHTH

HHTT

HTHH

HTHT

HTTH

HTTT

and so on...

the probability is 1 out of 16

P=1/16=0.0625=0.063 to the nearest thousandth