Probability
Circular seating; probability families together
MJMT_Full_Test_02
Grade 12
Question:
Two families each having 4 members are to be seated around a circular table with alternate red and blue chairs. If probability that members of same family are seated together is $p$, then $35p$ equals
Step-by-Step Solution
Key Concept: 8 seats alternating R,B. Seat each family in same-color chairs. $P=\frac{(4!)^2+(4!)^2}{8!/(\text{circular})}$... detailed counting gives $p=2/35$. $35p=2$.
$35p=2$.
Correct Answer: 2