A box holds 2 red beads and 3 green beads. One bead is drawn and not replaced. 1 red bead and 2 green beads are added to the box, and a second bead is then drawn. (a) Draw a fully labelled tree diagram. (b) Find the probability that the beads that have been drawn are of different colours.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A box holds 2 red beads and 3 green beads.
One bead is drawn and not replaced.
1 red bead and 2 green beads are added to the box, and a second bead is
then drawn.
(a) Draw a fully labelled tree diagram.
(b) Find the probability that the beads that have been drawn are of different
colours.
Transcribed Image Text:A box holds 2 red beads and 3 green beads. One bead is drawn and not replaced. 1 red bead and 2 green beads are added to the box, and a second bead is then drawn. (a) Draw a fully labelled tree diagram. (b) Find the probability that the beads that have been drawn are of different colours.
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