EXPLANATION
Let's see the facts:
Bag contains:
30 blue beads
10 red beads
35 yellow beads
A bead is randomly pulled out from the bag
The Probability equation is given by the following expression:

The content in the bag = 30 blue beads + 10 red beads + 35 yellow beads = 75 total beads
To pull a bead from the bag= 75 ways
To pull two red beads out of the bag = 10 ways
So, P(Red and Red) without replacement = 10/75 * 9/74 = 3/185
So, the answer is 3/185