Answer:
[tex]P(A^c)=\frac{15}{16}[/tex]
Step-by-step explanation:
The sample space of a coin tossed four times is given below:
S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}.
n(S)=16
Event A is the event of Tossing four heads.
The Event [tex]A^c[/tex], the Complement of A is the event of not tossing four heads.
[tex]P(A)=\frac{n(A)}{n(S)}=\frac{1}{16} \\Therefore:\\P(A^c)=1-P(A)\\=1-\frac{1}{16} \\=\frac{15}{16}[/tex]
