"I have $20, and can invest in one of two options which are independent (A or B). in one year, A can be sold at $X for every $1 that was originally invested, and similarly B can be sold at $Y for every $1. A and B are both normally distributed with a mean of 2 and a standard deviation 0.6."

i. If I put my money in A, what is the probability that I can sell it at a profit in a years time?

ii. If I put my money evenly into both A and B, what is the probability go selling for profit in a year.

iii. Best investment strategy between the A and B?