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.

Solution

Here n = 10
$straight p space equals 10 over 100 equals 1 over 10 comma space space straight q space equals space 1 minus straight p space equals space 1 minus 1 over 10 space equals 9 over 10$
P(at least one defective egg) = 1 - P(0) = $1 minus straight C presuperscript 10 subscript 0 open parentheses 9 over 10 close parentheses to the power of 10 space equals space 1 minus open parentheses 9 over 10 close parentheses to the power of 10.$

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Probability

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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