SciTool is now bidding for another contract:

From historical data, there's a 20% chance that there are no other firms bidding for the contract. We also know if there are competitors, their bidding prices follow the following distribution;

Competitor's bid price	<$1M	between $1.1M and $1.4M	between $1.6M and $1.9M	between $2.1M and $2.4M	>$2.6M
probability	0.2	0.3	0.3	0.15	0.05

Question:

Suppose SciTool bids $2.0M. When there is competition, the firm that has a lower bid price wins. ?

What is the winning probability of SciTool?