A bag contains 17 tickets numbered 1 to 17. A ticket is drawn and replaced, then one more ticket is drawn and replaced. Probability that first drawn number is even and second is odd, is

Engineering

Mathematics

Basic Definitions Related to Probability

Question

$\frac{72}{289}$

$\frac{64}{289}$

$\frac{81}{289}$

none of these

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Let A be the event that first drawn number is even and B be event that the second number drawn number is odd.

Total number of even numbers

= [\frac{17}{2}] = 8

\Rightarrow P (A) = \frac{8}{17}

and

P (B) = \frac{9}{17} \Rightarrow P (A \cap B) = \frac{72}{289}