How to solve this "statistics" problem?

When Rohit plays a game, the number of points he receives is given by the discrete variable X with the following probablility distribution

Rohit can win a prize if the total number of points he has scored after 5 games is at least 10. After 3 games he has a total of 6 points. You may assume that the games are independant.

Find the probability that Rohit wins the price.

Further information that may be helpful:
E(x) =1
Var(x) =1

Can you please include explanation as well?
Thanks in advance :D