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Let the number of red marbles be x, the number of yellow marbles be y, and the number of blue marbles be z.
According to the given information, x + y + z = 32 (total number of marbles)
The probability of getting a red marble, x/32 = 1/8
The probability of getting a yellow marble, y/32 = 1/4
From the first equation: x + y + z = 32
From the second equation: x = 32/8 = 4
From the third equation: y = 32/4 = 8
Therefore, z = 32 - 4 - 8 = 20
So, the number of blue marbles in the bag is 20.
The probability of getting a blue marble = number of blue marbles / total number of marbles = 20/32 = 5/8.