Q.
Mr. A lives at origin on the Cartesian plane and has his office at (4, 5). His friend lives at (2, 3) on the same plane. Mr. A can go to his office traveling one block at a time either in the +y or +x direction. If all possible paths are equally likely then the probability that Mr. A passed his friends house is (shortest path for any event must be considered)
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a
1/2
b
10/21
c
1/4
d
11/21
answer is B.
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Detailed Solution
n(S)=9!4!.5!=126n(A)=O to F and F to P=5!2!×3!×4!2!×2!=60⇒ P(A)=60126=1021
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