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Q.

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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a

(i)1n (ii) n-1n

b

(i)1n2 (ii)n-12n

c

(i)1n   (ii)n-12n  

d

(i)2n   (ii) n-1n 

answer is C.

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Detailed Solution

P ramecard as (B) = P (A chooses a and )x PCB choses the same card =1n (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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