Probability Question 409

Question: In a lottery there were 90 tickets numbered 1 to 90. Five tickets were drawn at random. The probability that two of the tickets drawn numbers 15 and 89 is

[AMU 2001]

Options:

A) $ \frac{2}{801} $

B) $ \frac{2}{623} $

C) $ \frac{1}{267} $

D) $ \frac{1}{623} $

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Answer:

Correct Answer: A

Solution:

  •         Required probability  $ =\frac{^{88}C_3}{^{90}C_5}=\frac{2}{801} $ .