6+4 = 10, so there is a total of 10 beads in the bag.
6/10 or 60% of the beads are white.
4/10 or 40% of the beads are black.
The question asks how many times you would expect to remove a white bead from the bag, so you just multiply the probability of removing a white bead times the number of times you picked beads out of the bag.
0.6 * 35 = 21
Therefore, the best prediction of how many times you would expect to remove a white bead from the bag is 21 times.