Question

A box contains 3 green balls, 1 white ball, and 2 blue balls. An experiment consists of selecting three balls one after another without replacement, and noting the color of each ball selected:

a. G
b. GB
c. WGB
d. Not mentioned

Answer 1

The subject of this question is Mathematics. The question involves probability and selecting balls from a box without replacement. To solve this problem, we can use the concept of combinations.

Step-by-step explanation:

The subject of this question is Mathematics. The question involves probability and selecting balls from a box without replacement.

To solve this problem, we can use the concept of combinations. First, let's find the total number of ways to select 3 balls from a total of 6 balls. This is given by 6 choose 3, which is equal to 6! / (3! * (6-3)!) = 20.

Next, we can calculate the probabilities of each event:

a. The probability of selecting 3 green balls (GGG) is (3/6) * (2/5) * (1/4) = 1/20.

b. The probability of selecting 1 green and 1 blue ball (GBG) is (3/6) * (2/5) * (3/4) = 9/40.

c. The probability of selecting 1 white, 1 green, and 1 blue ball (WGB) is (1/6) * (3/5) * (2/4) = 1/20.

d. The probability of any other combination is not mentioned in the question.