Gate Exam Category

Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

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Gate Other Question

A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn. What is the probability that they both are diamonds?
In a hurdle race, a player has to cross 8 hurdles. The probability that he will clear a hurdle is 4/5 , what is the probability that he will knock down in fewer than 2 hurdles?