Answer:
She has a 88.4% chance to win.
Explanation:
In order to determine whether she will win in 3 boxes or less, note that there is a 60% chance she will lose each time. To find the chance of her losing 3 times in a row, multiply 60% by itself 3 times.
60% * 60% * 60% = 21.6%
Now to find the amount of chance that she wins before this, subtract this number form 100%
100% - 21.6% = 88.4%