Probability question

Question

A refrigerator contains 10 bottles of water, 7 bottles of apple juice, and 13 bottles

of orange juice. If 2 drinks are taken at random from the refrigerator, what is the

probability that both drinks are bottles of apple juice?

Answer 1

A refrigerator contains 10 bottles of water, 7 bottles of apple juice, and 13 bottles

of orange juice. If 2 drinks are taken at random from the refrigerator, what is the

probability that both drinks are bottles of apple juice?

Total bottles = 30

Probability of the first bottle is an apple juice = 7/30

Probability of the second bottle is also apple juice = 6/29 because 1 apple juice is removed and total is now 29 bottles left in the refrigerator.

P = 7/30×6/29 = 42/870