An oil and gas executive needs to fly from Calgary, Alberta $($airport code YYC$)$ to Washington$-$Dulles

$($airport code IAD$)$ to attend a meeting with lobbyists about the building of a certain pipeline. Because there is

no direct flight from YYC to IAD, this traveler has fly from YYC to a different city, then connect with a flight to

IAD. The traveler has airline options. Airline AA will connect through Dallas, Airline UA will connect through

Chicago, or Airline D which connects through Minneapolis$-$St$.$Paul. Taking into their past experiences with

flying with the three airlines in question, this executive hints that the probability of flying with Airline AA is

$0\mathrm{.}15.$ The probability they will fly with Airline D is three times more than the probability of flying with Airline

UA$.$ Historical data has shown that $15\%$ of passengers who fly with Airline AA miss their connecting flights in

Dallas. Similarly, $10\%$ of Airline D passengers and $30\%$ of Airline UA passengers miss their connecting flights.