A bag contains 5 red, 4 white and 3 blue beads. Two beads are selected at random. Draw a tree diagram and list the probability space.

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17. A bag contains 5 red, 4 white and 3 blue beads. Two beads are selected at random.
Total number of beads = $5 \text{ (Red)} + 4 \text{ (White)} + 3 \text{ (Blue)} = 12$ beads.
Two beads are selected at random, without replacement.

(a) Draw a tree diagram and list the probability space.

Step 1: Probabilities for the first draw.

• P(Red first) = $\frac{5}{12}$
• P(White first) = $\frac{4}{12}$
• P(Blue first) =