An ice chest contains six cans of apple juice, four cans of grape juice, five cans of orange juice, and eight cans of mango juice. suppose that you reach into the container and randomly select three cans in succession. find the probability of selecting no grape juice.

Step-by-step explanation:

Given,

Cans of apple juice = 6,

Cans of grape juice = 4,

Cans of orange juice = 5,

Cans of mango juice = 8,

Thus, the number of cans with no grape juice = 6 + 5 + 8 = 19,

While the total cans = 6 + 4 + 5 + 8 = 23,

Number of ways of choosing any three cans =

Number of ways of choosing 3 non grape juice cans =

Hence, the probability of selecting no grape juice =