Question

Find the number of outcome when 4 coins are tossed simultaneously.

Answer 1

Dear student
$$\begin{gathered} \mathrm{The}\mathrm{possibilties}\mathrm{are}\mathrm{as}\mathrm{below}: \\ \mathrm{All}\mathrm{heads}:\mathrm{HHHH} \\ 3\mathrm{heads}\mathrm{and}1\mathrm{tail}:\mathrm{HHHT},\mathrm{HHTH},\mathrm{HTHH},\mathrm{THHH} \\ 2\mathrm{heads}\mathrm{and}2\mathrm{tails}:\mathrm{HHTT},\mathrm{HTTH},\mathrm{HTHT},\mathrm{THTH},\mathrm{TTHH},\mathrm{THHT} \\ 1\mathrm{head}\mathrm{and}3\mathrm{tails}:\mathrm{HTTT},\mathrm{THTT},\mathrm{TTHT},\mathrm{TTTH} \\ \mathrm{All}\mathrm{tails}:\mathrm{TTTT} \\ \mathrm{Therefore},\mathrm{The}\mathrm{total}\mathrm{outcomes}=1+4+6+4+1=16=2^4 \end{gathered}$$
Regards