Question

If a fair coin is tossed n times, then the total number of possible outcomes are

• A. $2^n$
• B. $2^n+1$
• C. $2^{n+1}$
• D. $2^{n-1}$

Answer 1

The correct option is A $2^n$

$\mathrm{first}\mathrm{toss}\mathrm{can}\mathrm{have}2\mathrm{results}.\mathrm{For}\mathrm{any}\mathrm{of}\mathrm{these}2,\mathrm{second}\mathrm{toss}\mathrm{can}\mathrm{have}2\mathrm{results}.\mathrm{so},\mathrm{first}\mathrm{two}\mathrm{toss}\mathrm{can}\mathrm{have}{2}^2\mathrm{results}.\mathrm{proceeding}\mathrm{the}\mathrm{same}\mathrm{way},n\mathrm{tosses}\mathrm{will}\mathrm{have}{2}^n\mathrm{results}.$