A cooler at a soccer game holds 10 apple juices and 10 orange juices. If the first player chooses a juice and drinks it, then a second player chooses a juice, what is the probability that both players would choose orange juice?

(1 point)

A 1/20

B 9/12

C 1/4

D 1/400

1 answer

C 1/4

Since there are 10 orange juices out of 20 total juices, the probability that the first player chooses orange juice is 10/20 or 1/2. After the first player has chosen an orange juice, there are now 9 orange juices left out of 19 total juices, so the probability that the second player chooses an orange juice is 9/19.

Therefore, the probability that both players choose orange juice is (1/2) * (9/19) = 9/38, which simplifies to 1/4.