A box contains five plain pencils and three pens. The second box contains three colored pencils and three crayons. One item for each box is chosen at random. What is the probability the plane from Pencil from the first box and a colored pencil from second box are selected

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The events 'select a plain pencil' and 'select a color pencil' are independent. therefore the probability of both occurring is the product of their probabilities:

P(plain\ pencil\ and\ color\ pencil)=\frac{5}{10}\times\frac{3}{10}=\frac{3}{20}

The answer is 3/20 or 0.15.