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Firstly we need to identify what is the underlying principle of this question and what are the assumptions we have to make. We are given some information about the cleaning process in a hotel. The variabl...

total number of balls = 3+4+2=9number of blue balls = 3probability of picking a blue ball = total number of blue balls/total number of ballstherefore = 3/9=1/3

First label the equations. 1: 5x + 2y = 4 . 2: x - y - 5 = 0 . Rearrange equation 2 . 2: y = x - 5 Substitute equation 2 into equation 1 . 5x + 2( x - 5 ) = 4 . 7x = 14 . x = 2 . Substitute x = 2 into equ...