The Big River Casino is advertising a new digital lottery-style game called Instant Lotto. The player can win the following monetary prizes with the associated probabilities:
5% probability to win $10
4% probability to win $15
3% probability to win $30
1% probability to win $50
0.1% probability to win the Grand Prize, $1000.
As a promotion, a visitor to the casino is given 20 free plays of Instant Lotto. What is the probability that the visitor wins some prize at least twice in the 20 free plays?