Question

Question 4, I give thanks and 5 stars so you get more points :p Worth 15 points

A cooler contains 5 bottles of orange juice, 6 bottles of apple juice, and 4 bottles of grape juice.

a. Janice randomly selects a bottle from the cooler. Then David randomly selects a bottle from the cooler. What is the probability that both Janice and David will select orange juice? Express your answer as a percent. Show your work.
b. Assume that both Janice and David selected orange juice. After drinking these juices, Janice and David randomly each pick another bottle from the cooler. What is the probability that neither will pick grape juice? Show your work and write your answer as a percent.

Answer 1

Since gkitten wasn't sure I'll attempt this too.

a) Assuming that the bottles are not replaced from the fridge each time:
5+6+4=15
So 5/15 x 4/14 = 2/21
2/21 x 100 = 9.524%

b) So now there are only 13 bottles in the fridge:
4/13 x 3/12 = 1/13
1/13 x 100 = 7.692%

Hope I helped.

Answer 2

A) 5+6+4=15, so the chance that they will both get orange juice is 2/15
B) 15-2=13, so the chances that neither of them will pick grape juice is 6.5%

I think this is right, but you might want to check it if anyone else answers because I havn't done this in maths for a while.