Respuesta :
Answer:
The required probability is [tex]\frac{1}{10}[/tex].
Step-by-step explanation:
Probability:
The ratio of the favorable outcomes to the all possible outcomes.
Given that, in a bucket, there are 5 marbles red in color, 3 marbles blue in color and 2 marbles green in color.
Total number of marbles are = 5+3+2= 10
The probability that first marble was red
[tex]=\frac{\textrm{Number of red marbles}}{\textrm{Total number of marbles}}[/tex]
[tex]=\frac{5}{10}[/tex]
[tex]=\frac12[/tex]
The probability that second marble was green is
[tex]=\frac{\textrm{Number of green marbles}}{\textrm{Total number of marbles}}[/tex]
[tex]=\frac{2}{10}[/tex]
[tex]=\frac15[/tex]
The required probability is
[tex]=\frac12 \times \frac15[/tex]
[tex]=\frac1{10}[/tex]
