Question

a coin is tossed n times.what is the number of the elements in the sample space ?.also write the number of all possible events

Answer 1

$$\begin{gathered} \mathrm{If}\mathrm{we}\mathrm{toss}\mathrm{a}\mathrm{coin}\mathrm{n}\mathrm{times}. \\ \mathrm{n}=\mathrm{number}\mathrm{of}\mathrm{coins}\mathrm{tossed}\mathrm{together}. \\ \mathrm{possible}\mathrm{outcomes}\mathrm{or}\mathrm{number}\mathrm{of}\mathrm{elements}\mathrm{in}\mathrm{sample}\mathrm{space}=2^{\mathrm{n}}\mathrm{elements} \end{gathered}$$