Answer:
Option c. 0.11
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
[tex]P=\frac{x}{y}[/tex]
In this problem we have that
Two consecutive marbles are drawn without replacement
step 1
Find out the probability that the first one will be green
[tex]x=5[/tex]
[tex]y=5+3+2=10[/tex]
substitute
[tex]P=\frac{5}{10}=\frac{1}{2}[/tex]
step 2
Find out the probability that the second one will be red
[tex]x=2[/tex]
[tex]y=4+3+2=9[/tex]
substitute
[tex]P=\frac{2}{9}[/tex]
step 3
Find out the probability that the first one will be green and the second one red
Multiply both probabilities
[tex](\frac{1}{2})(\frac{2}{9})=\frac{1}{9}=0.11[/tex]
