SOLUTION: An ice chest contains 5 cans of apple juice, 4 cans of grape juice, 7 cans of orange juice, and 3 cans of pineapple juice. Suppose that you reach into the container and randomly s

Question 438879: An ice chest contains 5 cans of apple juice, 4 cans of grape juice, 7 cans of orange juice, and 3 cans of
pineapple juice. Suppose that you reach into the container and randomly select three cans in succession,
without replacement. Find the probability of selecting no grape juice.
a.
455/
969
b.
375/
646
c.
2730/
6859
d.
4/
969
e. None of the above
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

 Out of the 19 cans, 15 are NOT grape juice

randomly select three cans in succession, without replacement...  

P(no grape juice) = 15/19*14/18*13/17 = 15*14*13/19*18*17 = 5*7*13/19*3*17 = 455/969  

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