Question

A coin is tossed 6 times. Find the probability P(of exactly 4 occurrences of heads).

Answer 1

Let's draw!

H                             1                              T
HT                           2                           HT
HTHT                      3                      HTHT
HTHTHT                 4                  HTHTHT
HTHTHTHT            5             HTHTHTHT
HTHTHTHTHT       6        HTHTHTHTHT

You can count the probabilities using this.

HHHHTT
HHHTHT
HHTHHT
HHTHTH
HHHTTH
HTHHHT
HTTHHH
HTHTHH
HTHHTH

THHHHT
THHHTH
THHTHH
THTHHH
TTHHHH

Therefore, I think the probability is 14/64. Not sure so check my work.
14 combinations
64 outcomes (2+4+8+16+32+64 or 2^n)