tree diagram to guess the probability – Discussion Forum

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Ayushree

Asked: September 12, 2026In: Class 9 Maths

Let us say that you have a box containing 3 red pens, 4 black pens and 2 green pens. You pick a pen (without looking) from the box and put it back. Then your friend does the same. (i) What are the possible outcomes of the pen colours? Can you draw a tree diagram representing the possible outcomes? (ii) Can you use the tree diagram to guess the probability that both you and your friend pick pens of the same colour?

With replacement, total pens = 9. Outcomes for colors are RR, RB, RG, BR, BB, BG, GR, GB, GG. The probability of both picking the same color is P(RR) + P(BB) + P(GG) = 9/81 + 16/81 + 4/81 = ...