please answer B and C for me, i already know A.

Use the information below to answer 1–3.
Three students are playing a video game. Each player is randomly
assigned a character from a collection of characters that includes
5 blue, 6 green, and 3 red characters. After each character is picked,
it is not replaced in the collection.
A. What is the probability that the first player does not get a blue character?

B. The first player gets a blue character. What is the probability that the
second player also gets a blue character?

C. Both the first and second players get blue characters. What is the
probability that the third player does not get a blue character?

Respuesta :

Answer: B: 4/13, C: 3/4

B:

There were originally a total of 14 characters (including 5 blue characters) from the collection. Since the first player got a blue character, there are now 13 characters to choose from and 4 of them are blue. Therefore, the probability is 4/13.

C: If both the first and second players get blue characters, then there will be 12 characters left, and 3 of them are blue. Now we know that there are 9 characters that are NOT blue. Therefore, the probability is 9/12, or 3/4.