Answer to Question #202330 in Statistics and Probability for Aasia Tariq

Question

A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects. How large a sample space is the customer potentially working with? List the sample space. Using the sample space list, determine the probability that the customer will select a sample with exactly one defect.

Answer 1

Given

A supplier shipped a lot of six parts to a company.

The lot contained three defective parts.

Suppose the customer decided to randomly select two parts and test them for defects.

How large a sample space is the customer potentially working with?

⁶c₂ =15

List the sample space.

Use A,B,C for defective

Use a,b,c for the not defective

List the 15 pairs

Aa,Ab,Ac

Ba,Bb,Bc

Ca,Cb,Cc

BC,AB,AC

ab,ac,bc

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Using the sample space list, determine the probability that the customer will select a sample with exactly one defect.

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P(1 defect) = 9/15