There are 6 glasses of natural fruit juices, 7 glasses of soft drinks, and 4 glasses of milk shakes served at a get-together. Savio chooses 2 glasses in succession without replacement. Find the probability that he selects a glass of natural fruit juice, then a milk shake.

Respuesta :

Answer:

[tex]\frac{3}{34}[/tex]

Step-by-step explanation:

In Statistics, the AND function, is simplified, by multiplying the probability of the two events with one another:

[tex]P(AandB)=P(A)*P(B)[/tex]

The first function is the probability of picking a glass of fruit juice from the total number of glasses. There is a total of 17 glasses, and 6 of them are fruit juice:

[tex]P(A)=\frac{6}{17}[/tex]

After taking a fruit juice, there are only 16 glasses left, of which 4 are milkshakes:

[tex]P(B)=\frac{4}{16} =\frac{1}{4}[/tex]

Therefore:

[tex]P(AandB)=\frac{6}{17}*\frac{1}{4} =\frac{6}{68}=\frac{3}{34}[/tex]

Answer:

B. dependent 3/34

Step-by-step explanation:

got it right on edge