Used photocopying machines are retu rned to the supplier, cleaned, and then sent

Question

Used photocopying machines are retu rned to the supplier, cleaned, and then sent back out on lease agreements. Major repairs are not made and, as a result, some customers received malfunctioning photocopying machines. Among eight used photocopyi ng machines in supply today, three are malf unctioning. A customer want s to lease four of these photocopying machines immedi ately. Hence four photoc opying machines are quickly selected and sent out, with no further checki ng. Find the probability that the customer receives (a) no malfunctioning photocopying machines. (b) at least one malfunctioning photocopying machine. (c) three malfunctioning photocopying machines. Please show work

Explanation / Answer

a.no malfunctioning =

( 5C4 x 3C0)/8C4 = 1/14

B.at least one malfunctioning photocopying machine

= 1- no malfunctioned slected

1-1/14 =13/14

C. (5C0 X 3C3)8C4

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