SOLUTION: There are five collage members in a department of Environmental Engineering at the University of Dodoma. These individuals have 3, 6, 7, 10 and 14 years of teaching experience resp

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Question 1134673: There are five collage members in a department of Environmental Engineering at the University of Dodoma. These individuals have 3, 6, 7, 10 and 14 years of teaching experience respectively. Two of these individuals are randomly selected to serve on a Graduate studies committee. What is the probability that the chosen representative have a total of least 15 years’ experience?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
C( 5,2) = +5%21+%2F+%28+%28+5-2+%29%21+%2A+2%21+%29%29+
C( 5,2 ) = +%28+5%2A4%2A3%2A2%2A1+%29+%2F+%28%28+3%2A2%2A1+%29%2A%28+2%2A1++%29%29+
C( 5,2 ) = +120+%2F+12+
C( 5,2 ) = +10+
This is a combination problem because the order of
the 2 selections doesn't matter
The combinations with less than 15 yrs experience are:
3,6
3,7
3,10
6,7
There are +10+-+4+=+6+ combinations
that add up to at least +15+
+6%2F10+=+3%2F5+ is the probability