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Analytical solution of probability lottery case
Let A 1={ The first person gets the movie ticket}
A2={ The first person didn't get the movie ticket}
B={ The second person gets the movie ticket}
P(A 1)=6/ 10
P(A2)=4/ 10
P(B|A 1)=5/9
P(B|A2)=6/9
P(B)= P(a 1)P(B | a 1)+P(a 1)P(B | a 1)
=6/ 10 5/9+4/ 10 6/9
=54/90
=3/5