Statistics homework help

Question

If you flip a fair coin four times, find the probability that all four outcomes are

(a ) tails.

(b) heads.

(c) not the same.

Answer 1

H = heads

T = tails

HHHH HHHT HHTH HHTT

HTHH HTHT HTTH HTTT

THHH THHT THTH THTT

TTHH TTHT TTTH TTTT

P(4 Tails) = 1/16

P(4 Heads) = 1/16

P(4 not the same) = 1 - P(4 are the same) = 1 - (2/16) = 14/16