Algebra > Probability

Medium

applied

A lot of 50 watches is known to have 10 defective watches. If 8 watches are selected one by one with a replacement at random, then the probability that there will be at least one defective watch is:

$1 - \left(\frac{4}{5}\right)^8$

$1 - \left(\frac{4}{5}\right)^{10}$

$1 - \left(\frac{1}{5}\right)^2\left(\frac{4}{5}\right)^8$

$1 - \left(\frac{1}{5}\right)^2\left(\frac{4}{5}\right)^6$

✅ Correct Option: 1

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Choose the correct answer from the options given below :

A lot of 50 watches is known to have 10 defective watches. If 8 watches are selected one by one with a replacement at random, then the probability that there will be at least one defective watch is:

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