Question 1013462
1. Number of non-smokers are (3/5)(2/5) for men =6/25
and (2/5)(3/5) for women=6/25.  They add to 12/25/
2.(1/3) chance of a 5 or 6 *(3/10)=(1/10)
The probability of choosing a blue ball from the second is (2/3)(6/15)=4/15
You add both of those, which is (3/30)+(8/30), and that is (11/30), once I use the same denominators.
3.  exactly one throw is is (.55*.05)=0.0275.  That is the first alone.  The second alone is 0.45*0.95=0.4275.  They add to 0.4550, which is 45.5%=91/200.
probability of at least 1 is 1- probability both don't.
They are independent, so probability of both missing is 0.45*0.05=0.0225
1-0.0225=0.9775, and that is 391/400.