A bookshelf holds 5 sports magazines and 5 architecture magazines. When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?

3/25
1/125
1/12
1/8

1/12

Step-by-step explanation:

The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.

The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf

The third time, they have a 3/8 chance because they have already removed 2 magazines.

Multiply all of the probabilities together

5/10 * 4/9 * 3/8 = 60/720

Simplify:

60/60 / 720/60 = 1 / 12

Hope this helps!