As per given by the question,
There are given that;
7 plain pencils and 5 pens in first box, and 5 color pencils and 5 crayons in the second box.
Now,
The total number of item in the first box is 7+5=12, and
The total number of item in the second box is 5+5=10.
Then,
The probability that, a plain pencil from the first box is,
[tex]\frac{7}{12}[/tex]
The probability of color pencil from the second box is,
[tex]\frac{5}{10}=\frac{1}{2}[/tex]
So,
The probability that a plain pencil from first box and a color pencil from the second box is,
[tex]\begin{gathered} P=\frac{7}{12}\times\frac{1}{2} \\ =\frac{7}{24} \end{gathered}[/tex]
Hence, the probability that a plain pencil from first box and a color pencil from the second box is,
[tex]\frac{7}{24}=0.292[/tex]
