From her home, Elise would have to walk due north to get to her friend Marvin's house and due east to get to her friend Cara's house. It is 6 kilometers from Elise's house to Cara's
house and a straight-line distance of 10 kilometers from Marvin's house to Cara's house. How
far is Elise's house from Marvin's house?

When atleast one dice shows a 6 the possible outcomes will be:
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
(1,6), (2,6), (3,6), (4,6), (5,6)

Thus there are 11 total possible outcomes.

Among these outcomes, the sum of numbers greater than or equal to 9 can be obtained from:
(6,3), (6,4), (6,5), (6,6), (3,6), (4,6), (5,6)

This means there are 7 outcomes with sum greater than or equal to 9. 

Thus, Probability of rolling a number greater than or equal to 9 with atleast one dice showing a 6 = 9/11

So, option A gives the correct answer