a. An individual wants to fly from Washington’s Dulles airport, stopover in Amst

Question

a. An individual wants to fly from Washington’s Dulles airport, stopover in Amsterdam to visit a friend and then fly on to Prague. Of the 15 airlines that fly from Washington to Amsterdam, 10 are members of the Star Alliance network. Of the 10 airlines that fly from Amsterdam to Prague, 6 are members of Star Alliance. What is the likelihood that at least one of the segments will be on a Star Alliance partner airline?

b. Airports around the world are abbreviated using a three letter code. For example, Dulles is IAD, Reagan airport is DCA and San Francisco is SFO. What is the maximum number of airports that can be labeled this way?

Explanation / Answer

a) the likelihood that at least one of the segments will be on a Star Alliance partner airline

= 1 - when no segment will be on a Star Alliance partner airline

= 1 - (15 -10)/15 * (10 -6)/10

= 1 - 5/15 * 4/10

= 0.866666

b) any of three position can be filled in 26 ways   (as there 26 alphabets)

hence total number of ways = 26^3 =17576

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