there are 10 beads in a jar 5 are green 3 brown and 2 red if joseph randomly picks one bead three times what is the probability that all three of the beads will be brown

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

If they are replaced,

3/10 * 3/10 * 3/10 = ?

Without replacement,

3/10 * 2/9 * 1/8 = ?