A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?

Given:

Total number of marbles = 15

Probability of randomly selecting a green marble = .

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = .

To find:

The number of blue marbles.

Solution:

Let the number of blue marbles be x.

It is given that,

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is . So,

Multiply both sides by 75.

Therefore, the number of blue marbles in the bag is 6.

step-by-step explanation:

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

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