document.write( "Question 939336: In a box of 24 iPods, 3 are defective. If 3 are sold, find the probability that all are defective. \n" ); document.write( "

Algebra.Com's Answer #572413 by mathmate(429) $\"\"$ $\"About$

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\n" ); document.write( "Given:
\n" ); document.write( "A batch of 24 iPods, 3 of which are defective (D).
\n" ); document.write( "Find probability P(DDD) that all three are defective.
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\n" ); document.write( "Solution:
\n" ); document.write( "Again, assume random sampling for all three.
\n" ); document.write( "It's therefore a 3-step experiment where the probability is the product of each individual steps.
\n" ); document.write( "Step 1: P(D)=3 out of 24 = $\"+3%2F24+=+1%2F8\"$
\n" ); document.write( "Step 2: P(D)=2 out of 23 = $\"+2%2F23+\"$
\n" ); document.write( "Step 3: P(D)=1 out of 22 = $\"+1%2F22+\"$
\n" ); document.write( "Probability of all three defective
\n" ); document.write( "P(DDD)= $\"1%2F8%2A2%2F23%2A1%2F22=1%2F2024\"$
\n" ); document.write( "
\n" ); document.write( "Answer: probability of 3 defectives from a sample of 3 iPods is $\"1%2F2024\"$ \n" ); document.write( "

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