Answer to Question #202340 in Statistics and Probability for Aasia Tariq

Question #202340

a.  A batch of50 parts contains six defects. If two parts are drawn randomly one at a time without replacement, what is the probability that both parts are defective?

b. If this experiment is repeated, with replacement, what is the probability that both parts are defective?



1
Expert's answer
2021-06-09T14:08:58-0400

a.

P(DD)=65061501=3245P(DD)=\dfrac{6}{50}\cdot\dfrac{6-1}{50-1}=\dfrac{3}{245}

b.

P(DD)=650650=9625P(DD)=\dfrac{6}{50}\cdot\dfrac{6}{50}=\dfrac{9}{625}


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