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Box y, box y, and box z each contain a pencil and a highlighter. An item is drawn randomly from each box. A) Draw a tree diagram to represent the possible outcomes.
B) Determine the probability that the items drawn are two pencils and one highlighter.

Box y box y and box z each contain a pencil and a highlighter An item is drawn randomly from each box A Draw a tree diagram to represent the possible outcomes B class=

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MrRoyal

The probability that the items drawn are two pencils and one highlighter is 0.25

How to draw the tree diagram

To do this, we make use of the following representations:

  • P represents Pencils
  • T represents Highlighters

Since there are three boxes, the number of possible outcomes is:

Outcomes = 2³

Outcomes = 8

See attachment for the tree diagram.

How to determine the probability?

From the tree diagram, we have:

  • Outcomes = 8
  • Two pencils and one highlighter (PPT) = 2

So, the probability is:

P = 2/8

Evaluate

P = 0.25

Hence, the probability that the items drawn are two pencils and one highlighter is 0.25

Read more about probability at:

https://brainly.com/question/25870256

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