Christina keeps her DVD collection in a plastic tub. The table shows the number of each type of DVD in Christina's collection.

Christina's DVD Collection
Type of
DVD Number of
DVDs
Sci-Fi 4
Action 6
Drama 4
Comedy 5
Romance 11

If two DVDs are chosen randomly one at a time, where the first DVD is replaced before the second DVD is chosen, what is the theoretical probability that both DVDs chosen are from the action category?

A. 1/25

B. 1/30

C. 6/145

D. 1/29

Question

Christina keeps her DVD collection in a plastic tub. The table shows the number of each type of DVD in Christina's collection.

Christina's DVD Collection
Type of
DVD	Number of
DVDs
Sci-Fi	4
Action	6
Drama	4
Comedy	5
Romance	11

If two DVDs are chosen randomly one at a time, where the first DVD is replaced before the second DVD is chosen, what is the theoretical probability that both DVDs chosen are from the action category?

	
A. 	1/25

	
B. 1/30	

	
C. 6/145	

	
D. 1/29

anonymous · Answer

The probability of a randomly selected dvd being from the action category is 6/30.
The probability of 2 randomly selected dvds being from action is (6/30)^2
which is (1/5)^2. which is 1/25