A bag has red, blue, and yellow marbles. If the total number of marbles is 32, the probability of getting a red marble is ⅛ and the probability of getting a yellow marble is 1/4 . How many blue marbles are in the bag? What is the probability of getting a blue marble?

Answer 1

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.