Question

A fair coin is tossed n times. First 2 times head came. Then how many outcomes are possible for remaining tosses?

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

Answer 1

The correct option is A $2^{n-2}$

$\mathrm{As}\mathrm{the}\mathrm{coin}\mathrm{is}\mathrm{tossed}n\mathrm{times}\mathrm{and}\mathrm{first}2\mathrm{times}\mathrm{head}\mathrm{came}.\mathrm{Then}\mathrm{number}\mathrm{of}\mathrm{outcomes}=1.1.2.2.....2=2^{n-2}$