Question

GUYS I REALLY NEED HELP!! THE STRUGGLE!!

Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four comedies. Which statement is true?

The probability that Christina will choose three comedies can be expressed as .1/ 4^C3
The probability that Christina will choose three action movies can be expressed as .20^C3/ 9^C3
The probability that Christina will not choose all comedies can be expressed as 1 − 4^C3/ 20^C4.
The probability that Christina will not choose all action movies can be expressed as 1 − 9^C3/20^C3

Answer 1

The Answer Is D

Explanation:

Answer 2

Last option is the correct answer.

Explanation:

Total number of movies = 9+7+4=20

The total number of combinations of choosing 3 movies from total 20 is represented by 20C3. Then there are 9 action movies and we're choosing 3, the number of combinations will be 9C3,

Now, the probability of choosing all action movies will be:

`(9C3)/(20C3)`

As we know that probability of something which is not happening is given as : 1 - probability of something happening, so the probability of not choosing all action movies is given by:
`1-(9C3)/(20C3)`

Hence, option D or last option is the right one.