What is the probability of getting exactly 5 boys and 5 girls if you have 10 kids?

Here the sample space is(s)=10, =>mod(s)=10

a=be the event of getting exactly 5 boys =>mod(a)=5

b=be the event of getting exactly 5 girls =>mod(b)=5

thus,

p(a)=mod(a)/mod(s)=5/10=1/2

p(b)=mod(b)/mod(s)=5/10=1/2

p(5 boys and 5 girls)=p(a)*p(b)=1/2*1/2=1/4