SOLUTION: Is it C? I want to check my answer. An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If two consecutive marbles are drawn without replacement what is t

Algebra ->  Probability-and-statistics -> SOLUTION: Is it C? I want to check my answer. An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If two consecutive marbles are drawn without replacement what is t      Log On


   

Question 1161041: Is it C? I want to check my answer.
An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If two consecutive marbles are drawn without replacement what is the probability that the first one will be green and the second one will be red?
A. 0.51
B. 0.10
C. 0.11
D. 0.16

The bag of marbles for the question and the question itself are provided in the link here: https://i.imgur.com/ZjhDlQu.png
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

yes, it is C
%285%2F10%29%282%2F9%29=1%2F9=0.1111111111111111=0.11

Answer by ikleyn(52825) About Me  (Show Source):
You can put this solution on YOUR website!
.

In all, there are  5+3+2 = 10 marbles.


First green goes with the probability of  5%2F10 = 1%2F2.


Then the second red goes with the probability of  2%2F9.


Overall, the probability under the problem's question is  %281%2F2%29%2A%282%2F9%29 = 1%2F9 = 0.1111111111...


The closest option is C.    ANSWER

Solved.