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Draw a card from a pack of n cards marked 1, 2,....., n. The card is replaced in the pack and B draws a card. Find the probability that A draws (i) the same card as B, (ii) a higher card than B.

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(i)

\frac{1}{n}

(ii)

\frac{n - 1}{n}

(i)

\frac{1}{n^{2}}

(ii)

\frac{n - 1}{2 n}

(i)

\frac{1}{n^{}}

(ii)

\frac{n - 1}{2 n}

(i)

\frac{2}{n^{}}

(ii)

\frac{n - 1}{n}

answer is C.

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Detailed Solution

P ramecard as (B) = P (A chooses a and )x PCB choses the same card

= \frac{1}{n}

(ii) P (and of A glara than B) = PCB drawn card 1) x P (A drawn any card k) + P ( B arans card 2) x P (A drawn card > 2) + ….. P (B drawn card n – 1 ) x P (A drawn any card > n – 1 )

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