Starting in 2013, every guest staying at a Disney hotel is given a free magic band…

Starting in 2013, every guest staying at a Disney hotel is
given a free magic band (a bracelet that has a computer chip that
turns a bracelet into a hotel room key, parktickets, and dining
plan meal card). Prof. K has a collection of 21 magic band
bracelets from various trips over the years as listed below:
MAGIC BAND COLOR
NUMBER OF MAGIC BANDS
Red
7
Pink
1
Yellow
3
Blue
4
Orange
2
Purple
3
Pink
1
Gray
1
I. If perso grabs 3 random magic bands from the box containing
her collection to wear on her next trip, what is the probability
that she packs 3 red bands?
shhow all work