SOLUTION: The Carubas have a collection of 28 video movies, including 12 westerns and 16 science fiction. Elise selects 3 of the movies at random to bring to a sleep-over at her friend's ho

Question 126220: The Carubas have a collection of 28 video movies, including 12 westerns and 16 science fiction. Elise selects 3 of the movies at random to bring to a sleep-over at her friend's house, find the probability of:
P(3 science fiction), P(2 westerns and 1 science fiction) and P(2 science fiction and 2 westerns).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The Carubas have a collection of 28 video movies, including 12 westerns and 16 science fiction. Elise selects 3 of the movies at random to bring to a sleep-over at her friend's house, find the probability of:
P(3 science fiction) = 16C3/28C3 = 0.1709..
-------------------------
P(2 westerns and 1 science fiction) = [12C2*16C1]/[28C3] = 0.3223...
-----------------------
P(2 science fiction and 2 westerns) = [16C2*12C2]/[28C4] = 0.3868...
Comment: This last selection involves selecting 4 movies.
===================
Cheers,
Stan H.
---------------------------
RELATED QUESTIONS
If there is 28 movies and 12 of those are westerns and 16 are sci-fi what is the... (answered by solver91311)

Hi I was hoping someone could Please help me with this problem! Thank you so much!! :) (answered by Theo)

A survey of 350 customers was taken at Regal Cinemas in Austin, Texas, regarding the type (answered by edjones)

Missy stood in front of AMC theaters in Independence last week and asked 500 people what... (answered by solver91311)

I have 35 fiction books and 28 non fiction books. Write the faction of each type of... (answered by rfer)

One month Kaitlin rented 8 movies and 3 video games for a total of $27 . The... (answered by josgarithmetic)

rented 2 movies and 5 video games for a total of $35 . The next month he rented... (answered by Cromlix)

Jasmine can buy 3 video games and 3 books for the smae price as 4 movies. She has enough... (answered by richwmiller)

One month Rita rented 5 movies and 6 video games for a total of $42 . The next (answered by josgarithmetic)