document.write( "Question 1011009: a box contain 50 light bulbs, of which 4 are detective. you purchase two bulbs from this box. what is the probability that both will be defective? \n" ); document.write( "
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\n" ); document.write( "Question:
\n" ); document.write( "a box contain 50 light bulbs, of which 4 are detective. you purchase two bulbs from this box. what is the probability that both will be defective?
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\n" ); document.write( "Solution:
\n" ); document.write( "Given 4 out of 50 light bulbs are defective.
\n" ); document.write( "Draw two from the batch.
\n" ); document.write( "Let D=event that light bulb drawn is defective.
\n" ); document.write( "and ~D=event that light bulb drawn is normal.
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\n" ); document.write( "Need to find P(DD)
\n" ); document.write( "Recall that there are 4 defectives out of 50 at the first draw, and 3 defectives out of 49 at the second draw.
\n" ); document.write( "Using the multiplication rule, then
\n" ); document.write( "\"P%28DD%29=%284%2F50%29%283%2F49%29=6%2F1225\"
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\n" ); document.write( "Answer: the probability of drawing two defective light-bulbs is 6/1225
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