0

# What is the probability the thrid bottles she chooses will be grape juice?

there are 3 types of juice in  the refrigerator: apple, orange, and grape. There are 4 bottles of each type of juice. Ivy is going to choose 3 bottles of juice at random.

Part A : If the first two bottles Ivy chooses include 1 apple juice and 1 orange juice

### 2 Answers by Expert Tutors

Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
5.0 5.0 (443 lesson ratings) (443)
1
Hi Travina,

This problem is just like the other two.  After removing 1 apple juice and 1 orange juice, there are 10 total bottles of juice left in the fridge, 3 apple, 3 orange, and 4 grape.  The probability that the next bottle that Ivy chooses will be grape is:

P = (Number of grape juice bottles left) / (Total number of juice bottles left)

You may have to reduce the fraction.  Let me know what you get and I'll tell you if you are right.
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
0
first and 2nd draw : 1 apple juice and 1 orange juice.

3rd draw from: ( 3 apples ,  3 orange, 4 grapes)

probability of Grape juice on 3rd draw: = 4/ 10 = 2/5