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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?
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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.
Bag A contains 4 red, 3 white and 2 black balls. Bag B contains 3 red, 2 white and 3 black balls. One ball is transferred from bag A to bag B and then a ball is drawn from bag B. The ball so drawn is found to be red. Find the probability that the transferred ball is black.