A box contains plain pencils and pens. A second box contains color pencils and crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected?

Question

Gemma Huffman

Mathematics

22 March, 08:30

A box contains plain pencils and pens. A second box contains color pencils and crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected?

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Dennis Fernandez · Answer 1

The two events are clearly independt, because what happen in a box does not influence what happen in the other box.

The probability of two indipendent events is the product of each probability.

Then, the probability of chosing a plain pencil from the first box and a color pencil from the second box, is the probability of the first times the probability of the second.