For such questions which are also known as probability based on areas , u can find easily using grid of 2 dimension as shown below


1/2*F 
F 

1/2 * F 
F 
1/2 * F 
1/2*F 
F 
1/2 * F 

F 
1/2 * F 


The favorable area for the given problem is shown above...
So no of favourable cells = 4 + 6 * 1/2 = 7
Therefore probability that they meet = No of favourable cells/ No of total cells
= 7 / 16
Hence C) should be the correct option.