Artificial intelligent assistant

If this warped coin is flipped 5 times, what is the probability that more heads than tails occur? A warped coin has probability of 0.5 of landing Heads, probability of 0.4 of landing Tails, and probability 0.1 of landing on its Edge. It is flipped 5 times. What is the probability that more Heads occur than Tails?

Hint:

1. probability of 3-5 heads, plus
2. probability of 2 heads and 0-1 tails, plus
3. probability of 1 head and 0 tails.

xcX3v84RxoQ-4GxG32940ukFUIEgYdPy d954ce767e01a900a75c57bd3a5b48df