Question

Help ASAP! Nobody has the right answer to this!

Answer 1

Answer:

Option D

Step-by-step explanation:

Given :  Christina is randomly choosing 3 movies to take on vacation from 9 action movies, seven science fiction movies, and four comedies.

To find : Which statement is true?

Solution :

Total number of movies 9 + 7 + 4 = 20

The total number of combinations of choosing 3 movies from a pool of 20 is represented by $^{20}C_3$

Since there are 9 action movies in total and we're choosing 3, the number of combinations to do that is  $^{9}C_3$

So the probability of choosing all action movies is the combinations of choosing all action movies divided by all the possible combinations of choosing any 3 movies from 20.

$=\frac{^{9}C_3}{^{20}C_3}$

Therefore, the probability of not choosing all action movies is

$=1-\frac{^{9}C_3}{^{20}C_3}$

Hence, Option D is correct.

Answer 2

Best answer to this would be the probability that Christina will choose three action movies can be expressed as 20C3/9C3 .