One coin is thrown 100 times, then the probability of getting head in odd number is

Step-by-step solution

n=100, p= 1 2 , q= 1 2 p(x=r where r is odd )= _ r= odd ^n C_r p^r q^ n-r aligned & = _ r= odd ¹⁰⁰ C_r ( 1 2 )^r ( 1 2 )^ 100-r & = ( 1 2 )¹⁰⁰ _ r= odd ¹⁰⁰ C_r & = ( 1 2 )¹⁰⁰ 2⁹⁹= 1 2 aligned