Question

Four boys and four girls are randomly seated in 8 adjacent seats at a theatre. If it is found that all the girls are seated in 4 adjacent seats, then the probability that the four boys are also in 4 adjacent seats is ......

• A. $\frac{1}{4}$
• B. $\frac{3}{4}$
• C. $\frac{1}{2}$
• D. $\frac{2}{5}$

Answer 1

The correct option is D $\frac{2}{5}$

$4$ boys and $4$girls are randomly seated in $8$ adjacent seats at a theatre.
All girls seat together.
If all boys also seat in adjacent seats than,
B B B B G G G G
G G G G B B B B
If all girls seat together than,
total number of results=$5$
and favorable results =$2$
$\therefore$ Probability =$\frac{2}{5}$