In this task, you need to provide the correct option for a given problem on probability from the provided options.

[Q]: Problem: how many positive integers less than 600 can be formed using the numbers 1 , 2 , 3 , 5 and 6 for the digits ?
Options: a ) 48 , b ) 130 , c ) 66 , d ) 68 , e ) 84
[A]: b

[Q]: Problem: the chance of rain on any given day in tel - aviv is 50 % . what is the probability w that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ?
Options: a ) 15 / 64 , b ) 30 / 64 , c ) 1 / 2 , d ) 1 / 4 , e ) 52 / 64
[A]: a

[Q]: Problem: there is a 30 % chance sandy will visit china this year , while there is a 60 % chance that she will visit malaysia this year . what is the probability that sandy will visit either china or malaysia this year , but not both ?
Options: a ) 42 % , b ) 48 % , c ) 54 % , d ) 60 % , e ) 66 %
[A]:
c