Probability of Selecting Red Marbles

Medium Integrating Essential Skills Arithmetic

A bag contains a mixture of 30 marbles: 12 red, 10 blue, and 8 green. You randomly select 4 marbles from the bag without replacement. What is the probability that exactly 2 of the marbles selected are red?

To solve for this probability, consider the number of ways to choose the red marbles and the non-red marbles from the bag.

$$\frac{3}{10}$$

$$\frac{12}{35}$$

$$\frac{28}{105}$$

$$\frac{4}{21}$$

Hint

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