# I need help with a math problem

Anonymous
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### Question Description

Telephone sales have skyrocketed this past month.  The probability that 1 of the 4 telephone lines is busy is 75%.  Therefore, currently the probability of all 4 lines being busy at the same time is about 32%.  I want to reduce the probability of all telephone lines being busy at the same time.If I add 2 more telephone lines, how much do I reduce the probability of all telephone lines being busy at the same time? (Assume the probability that any phone line is busy remains at 75%)

Alex Maslovskii
School: Purdue University

he probability that 1 of the 4 telephone lines is busy is 75% so the probability of all 4 lines being busy at the same time is 75%*75%*75%*75% = 32% so adding 2 more phone lines, with line  busy remains at 75% will give you 75%*6 = 18%

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Anonymous
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