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Applied Mathematics · 2026 · 5 marks

CBSE 2026 · Central · Set 4 · Q34

(a) Two cards are drawn at random and one by one with replacement from a well-shuffled pack of 52 playing cards. Find the probability distribution of…

(a)
Two cards are drawn at random and one by one with replacement from a well-shuffled pack of $\displaystyle 52$ playing cards. Find the probability distribution of the number of aces. Also, find its mean and variance.
OR
(b)
It is given that $\displaystyle 2$% of the screws manufactured by a company are defective. Use Poisson distribution to find the probability that a packet of $\displaystyle 100$ screws contains (i) no defective screw, (ii) one defective screw.

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