A bag contains three blue marbles, five red marbles, and four green marbles.

Part A: What is the probability of selecting a red marble?

Part B: What is the probability of selecting three red marbles without replacement?

Part C: In a short paragraph, explain in your own words your work to Step B

Respuesta :

Answer:

Below.

Step-by-step explanation:

The total number of marbles is 12.

Part A.

Prob(Red marble) = 5/12.

Part B.

Prob(pick 3 red marbles without replacement) = 5/12 * 4/11 * 3/10 = 1/22.

Part C.

The probability of the first being red is 5/12 because there are 5 red out of a total of 12 marbles. After that there are only 4 marbles and the total is 11 ( 1 marble less). Finally on the 3rd pick there are 3 red and a total of 10. WE then multiply these 3 probabilities.